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Extra Questions for Class 10 Maths with Solutions Chapter Wise

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Real Numbers Class 10 Extra Questions Maths Chapter 1

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Real Numbers Class 10 Extra Questions Maths Chapter 1

Extra Questions for Class 10 Maths Chapter 1 Real Numbers. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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Real Numbers Class 10 Extra Questions with answersReal Numbers Class 10 Extra Questions with solutions
Class 10 Maths Chapter 1 Extra Questions
You can also download NCERT Solutions For Class 10 Maths to help you to revise complete syllabus and score more marks in your examinations.

Extra Questions for Class 10 Maths Real Numbers
Important Questions for Class 10 Maths Real numbers
Real Numbers Class 10 CBSE Extra Questions
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Extra Questions for Class 10 Maths

NCERT Solutions for Class 10 Maths

The post Real Numbers Class 10 Extra Questions Maths Chapter 1 appeared first on Learn CBSE.

Scholarships for Students

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Scholarships for Students

State Wise Scholarships

Scholarship for 10th Passed Students

Popular Scholarships in India

Best Scholarships in India

  • NTSE – National Talent Search Examination
  • KVPY – Kishore Vaigyanik Protsahan Yojana 2019
  • NSP – National Scholarship Portal
  • NATS – National Accounting Talent Search

State Level National Talent Search Exam (NTSE) 2019 – 2020

Top Scholarships for Class 1 to Class 10

Pre Matric Scholarship for SC, ST & General Students, Uttar Pradesh 2019-20

Eligibility
  • Be a domicile of Uttar Pradesh
  • Be studying in class 9 and 10
  • Belong to ST/SC/General Category
  • Have a family income of not more than INR 1 Lakh per annum
Important Dates
  • Last date to apply under fresh application: 10 September 2019
  • Last date to submit an application for renewal: 10 August 2019
Important Links

Pre Matric Scholarship for OBC Students, Uttar Pradesh 2019-20

Eligibility
  • Be a domicile of Uttar Pradesh
  • Belong to OBC category
  • Have a family income less than INR 1 Lac per annum from all sources
Important Dates
  • Last date to apply under fresh application: 10 September 2019
  • Last date to submit an application for renewal: 10 August 2019
Important Links

Pre Matric Scholarship for Minority Students, Uttar Pradesh 2019-20

Eligibility
  • Be a domicile of Uttar Pradesh
  • Belong to the Minority community
  • Have the family income of less than INR 1 Lakh per annum from all sources
  • Be studying in class 9 and 10
Important Dates
  • Last date to apply under fresh application: 10 September 2019
  • Last date to submit application for renewal: 10 August 2019
Important Links

West Bengal Pre Matric Scholarship

Eligibility
  • Be a domicile of West Bengal
  • Be studying in class 1 to 10 at a school or institution which is affiliated with a Council/Educational Board/University of State or Central Government
  • Have scored at least 50% marks in his/her last qualifying exam
  • Have a family income of less than INR 2 Lakhs per annum
  • Belong to minority section of West Bengal

Note – Students pursuing their studies outside West Bengal are not eligible for this scholarship

Important Dates
  • Application deadline – 15th September 2019
Important Links

National Scholarship Exam (NSE) 2019

Eligibility
  • Students in Class 5 to 12 (SSC/ICSE/CBSE board)
  • Students enrolled in a Diploma course (any stream and any year)
  • Students enrolled in a Degree (any stream and any year)
Important Dates
  • Registrations open: 1 April 2019
  • Last date to apply: 30 September 2019
  • Date of exam: 15th December 2019
Important Links

Kind Scholarship for Meritorious Students

Kind Scholarship for Meritorious Students is an initiative to support academically meritorious students coming from under-privileged section of society to build a foundation for their bright future.  The scholarship is funded by  donations received from Individuals & professionals who want to support meritorious students in need.

Scholarship award varies as per the need of candidates. However, the standard scholarship awards are the following:-

  • For Class 9 & 10 students: INR 6,000 per year
  • For Class 11 & 12 students: INR 12,000 per year
  • For Polytechnic / ITI / Diploma / Graduation & Others: INR 18,000 per year
Eligibility
  • Be studying in any Indian school (Class 9 to 12) or college (Graduation; ITI, Polytechnic, Vocational & Professional Courses)
  • Have an annual household income less than INR 4 Lakhs
  • Have cleared the previous examination with at least 60% marks

Note: Preference will be given to candidates having high merit, single parent, orphan or wards of Indian Armed Forces died on duty.

Important Dates
  • Starting date: July 1, 2019
  • End date: September 30, 2019

Begum Hazrat Mahal National Scholarship Scheme for Minorities Girls 2019-20

Eligibility
  • Only girl students belonging to Muslim, Christian, Sikh, Buddhist, Jain, and Parsi communities are eligible for this scholarship.
  • They must be studying in class 9 to 12.
  • The annual family income of the student should be less than INR 2 Lakhs.
  • The students must have secured a minimum of 50% marks (in aggregate) in the previous class.
Important Dates
  • Last date to submit the application: 30th September 2019
Important Links

24th Anuvrat Essay Writing Competition 2019

Eligibility
  • Junior Group: Class 1 to 8
  • Senior Group: Class 9 to 12

What are the benefits?

  • 3 graded prizes for 1st, 2nd  and 3rd winning essays in each group
  • Some consolation prizes for each participating group
  • Honor for best participants
  • Merit/appreciation certificate for commendable essay writers
Important Dates
  • Deadline for essay submission – 30th September 2019
  • Result declaration – December 2019
Important Links

The Gaud Saraswat Brahman (G.S.B.) Scholarship 2019

The scholarship offers the following-

  • Free scholarship- Awarded to students from Class 5 to Graduate level
  • Foreign loan scholarship- Up to INR 17 lakhs (INR 1.7 million) with a loan scholarship of INR 2 lakhs per student
Eligibility
  • Applicants must belong to the Gaud Saraswat Brahman community.
  • Students of class 5th to undergraduate courses will be eligible for this scholarship scheme.
  • All Students enrolled in courses like diploma /B.A/B.Sc/B.Com/B.Arch/MBBS/B.Pharma/B.E can also apply.
Important Dates
  • Application deadline for students of Class 5 to 10 – 15th July 2019
  • Application deadline for students of PUC I & II/Jr. College – 15th August 2019
  • Application deadline for students of Degree (BA/BSc/B.Com) & Diploma – 15th September 2019
  • Application deadline for students of BE/BArch/BPharm/MBBS etc. – 15th October 2019
Important Links

Pre Matric Scholarships Scheme for Minorities 2019-20

Eligibility
  • Must be studying in class 1 to 10
  • Must have secured at least 50% marks in the previous final examination
  • Must have a family income of not more than INR 1 lakh per annum from all sources
  • Must belong to the minority community (Muslims, Sikhs, Christians, Buddhists, Jains and Zoroastrians/Parsis)
Important Dates
  • Scholarship announcement date: 15 July 2019
  • Scholarship closing date: 15 October 2019
  • Last date for defect verification: 31 October 2019
  • Last date for Institute verification: 31 October 2019
Important Links

Pre-Matric Scholarship for Students with Disabilities 2019-20

Eligibility
  • Be a regular full-time student of class 9 or class 10 in government or recognised school.
  • Have more than 40% disability and a valid certificate for the same.
  • Belong to the family where the annual income is not more than INR 2.50 Lakhs from all the sources.
Important Dates
  • Scholarship announcement date: 15 July 2019
  • Scholarship closing date: 15 October 2019
  • Last date for defect verification: 31 October 2019
  • Last date for Institute verification: 31 October 2019
Important Links

Financial Assistance for Education of the Wards of Beedi/Cine/IOMC/LSDM Workers – Post-Matric 2019-20

The selected scholar will receive the following benefits:

  • Girls studying in PUC I & II will receive INR 2,440
  • Boys studying in PUC I & II will receive INR 2,000
  • Girls and boys enrolled in ITI courses will receive INR 10,000
  • Girls and boys enrolled in Degree courses will receive INR 3,000
  • Girls and boys enrolled in Professional courses such as BE/MBBS/BSc-Agri. will receive INR 15,000
Eligibility
  • One or both the parents of the applicants should be working as a Beedi worker/ Iron Ore Manganese & Chrome Ore Mines (IOMC) worker/ Limestone & Dolomite Mines (LSDM) worker/ Cine worker for at least last six months.
  • The monthly income of the family must not exceed INR 10,000 from all the sources except for Cine workers where the income must not exceed INR 8,000 per month or INR 1,00,000 per annum.
  • The student must have passed the last qualifying examination in the first attempt.
  • The student must have enrolled in a regular course of general or technical education, including medical, engineering and agricultural studies.

Note: This scholarship is also for the children of Contract/ Gharkhataworkers.

Important Dates
  • Scholarship announcement date: 15 July 2019
  • Scholarship closing date: 31 October 2019
  • Last date for defective verification: 15 November 2019
  • Last date for institute verification: 15 November 2019
Important Links
  • please visit NSP website https://scholarships.gov.in/

ITI

The post Scholarships for Students appeared first on Learn CBSE.

Vidya Lakshmi Portal | Features, Benefits, Schemes, Registration Process

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Vidya Lakshmi Portal: Vidya Lakshmi Portal is one of a kind portal for students who are looking for Education Loan. This portal has been settled under the guidance of the Department of Higher Education (Ministry of Human Resource Development), Indian Banks Association (IBA), and Department of Financial Services (Ministry of Finance). The portal is being settled and maintained by NSDL e-Governance Infrastructure Limited. This portal enables students to look and apply for education loan applications in banks. Students can access the portal to track the education loan applications anywhere, anytime in banks.

The Finance Ministry of Govt. of India in cooperation with NSDL e-Governance Infrastructure Limited initiated the Vidya Lakshmi portal on 15th August 2015. This portal is a single platform for students to provide details regarding educational loans and government scholarships. This portal also has a linkage to the National Scholarship Portal. Due to this students can get information and apply for appropriate Govt. scholarships.

Vidya Lakshmi Portal Education Loan

Vidya Lakshmi Portal Education Loan helps students to apply online for education loans through a centralized platform. Even students can compare education loan services, apply for interest subsidy and refinance their loan. However, the portal consists of 96 different types of education loan schemes from a list of 36 banks. It enables students to apply for many banks by filling a single Common Education Loan Application Form (CELAF).

This portal aims at providing easy and user-friendly system for availing an education loan. So that all eligible students able to complete their education without any financial hassle. It enables students of remote areas who wish to pursue higher education can apply online for education loans. Due to this portal, students are able to apply for 3 different education loan services at the same time. It helps to increase your loan approval chances. Vidya Lakshmi education loan enables students to avail of the maximum amount of study loans with minimum interest rates.

Vidya Lakshmi Portal Features

Vidya Lakshmi Portal provides services to avail of education loans in an easy way. Services include CELAF, data security, Central Loan Interest Subsidy Scheme compliance, and remote service. The features of Vidya Lakshmi Portal are listed below:

  • It facilitates students to upload/ download application details on the portal dashboard.
  • It enables banks to upload the status of loan processing.
  • It facilitates banks to download the student’s loan applications.
  • It facilitates students to email grievances or queries related to educational loans to banks.
  • They can check the grievance status on the portal dashboard.
  • It also facilitates students to apply to 3 different banks at the same time.
  • It enables students to apply for a second loan under some terms and conditions.

Vidya Lakshmi Portal Benefits

This portal provides the following benefits to students seeking for Study Loan.

  • It provides a centralized platform for education loan services to all banks.
  • Provides a Remote Service to avoid the branch visit.
  • Compliance with the Central Sector Interest Subsidy (CSIS) for Education Loan Interest benefits.
  • Provides possibility to avail a maximum Loan Amount.
  • Students get the benefit of online troubleshooting and complaint management.
  • It provides direct transfer without including any Loan agents in between.
  • It eliminates hidden charges and performs faster processing.

Vidya Lakshmi Portal List of Banks

All Indian Banks under the Indian Banking Association are providing loans to students. This includes Government/Private Banks, Non-Banking Financial Institutions, and others. Vidya Lakshmi Portal Bank Login.

Vidya Lakshmi Education Loan Schemes providing 96 different types of study loans from a list of 36 Indian banks.  A list of all these banks and their schemes is given below

Vidya Lakshmi  List of BanksVidya Lakshmi Education Loan Schemes
Abhyudaya Cooperative Bank LimitedEducational Loan Under The Scheme Of Abhyudaya Gyan Vardhini
Allahabad BankEducation Loan
Andhra BankDr. Pattabhi Vidya Jyothi Scheme
Axis BankAxis Bank Education Loan Scheme
Bank of BarodaBaroda Gyan
Baroda Scholar
Baroda Education Loan Of Premier Institutions Students
Baroda Vidya
Baroda Education Loan For Executive Development Programmes In India
Baroda Education Loan For Executive Development Programmes Abroad
Skill Loan Scheme
Bank of IndiaBOI Star Education Loan Scheme
Bank Of MaharashtraModel Educational Loan Scheme
Canara BankIBAS Education Loan Scheme
IBA Skill Loan Scheme
Central Bank Of IndiaCent Vidyarthi
Corporation BankCorp Vidya Loan Scheme
Dena BankSkill Loan Scheme ( Kaushal Wrin Yojana)
Dena Vidya Lakshmi Education Loan For Pursuing Higher Education Scheme
Dombivli Nagari Sahakari Bank LimitedVidyavardhini Education Loan Scheme
Suvidya Education Loan Scheme
Federal BankFederal Special Vidya Loan Scheme
Fed Scholars
GP Parsik Bank LtdVidya Siddhi
HDFC BankEducation Loan
ICICI BankEducation Loan
IDBI BankEducation Loan For Vocational Courses
Education Loan Scheme For Other Management Quota Students
Education Loans For Premier Education Institutes Students
Education Loan For Courses Offered By ICAI
Indian BankRevised IBA Educational Loan Scheme, 2011
IB Skill Development
IB Educational Loan Prime Nit
Indian Overseas BankVidya Jyothi Educational Loan Scheme
IOB Career Dream
Skill Loan Scheme
Karnataka Bank LimitedKBL Vidyanidhi Scheme
Skill Loan Scheme
Karur Vysya BankKVB Educational Loan
Kotak Mahindra Bank LimitedKotak Mahindra Bank Ltd
New India Cooperative Bank LimitedVidya Vikas Loan Scheme
Oriental Bank Of CommerceOriental Bank Of Commerce
Pragathi Krishna Gramin BankVidya Sagar Education Loan
Punjab And Sind BankModel Education Loan for Pursuing Higher Education Scheme
Skill Loan Scheme
PSB Excellence Education Loan Scheme
Punjab National BankPNB Kaushal
PNB Saraswati
RBL Bank LimitedEducation Loan
State Bank of IndiaSBI Student Loan Scheme
SBI Scholar Loan Scheme
SBI Skill Loan Scheme
Syndicate BankSkill Loan
Syndvidya
Tamilnad Mercantile Bank LimitedTMB Education Loan
TMB Skill Development Loan
TMB Super Education Loan Scheme
UCO BankUCO Education Loan
UCO Super Premier Educational Loan
UCO Premier Educational Loan Scheme
Union Bank Of IndiaUnion Education
United Bank Of IndiaUnited Education Loan
United Superb Education Loan
United Education Loan in Management Quota
Vijaya BankEducation Loan Under Management Quota (Non-IBA) Students
Skill Loan Scheme
IBA Model Education Loan for Top Rated Institutions in India
IBA Model Education Loan for Other Institutions in India
IBA Model Education Loan Abroad
Yes BankYes Education Loan

VidyaLakshmi Portal Registration Process

The Vidya Lakshmi Education Loan Portal registration process are listed below:

  • Go to the Vidya Lakshmi website www.vidyalakshmi.co.in.
  • Click on ‘Register’ appear on top of the homepage of the portal.
  • Fill the details such as name, age, date of birth, email Id, and mobile number.
  • Read the Official agreement terms and Conditions appear at the bottom of the registration page.
  • Click on submit to get a confirmation link on your email Id.
  • Click on the confirmation link received through email to confirm your registration.

Vidya Lakshmi Portal Education Loan Login

After completion of the registration process, students need to fill the Vidya Lakshmi Portal Application Form, Common education loan application form (CELAF). Then only students can search for various education loan Schemes and apply them from the portal. Refer to the below-given Vidya Lakshmi Portal login and loan search process.

  • Go to the VidyaLakshmi Education Loan Website.
  • Select ‘Login’ from the top of the page. Then select ‘Student Login’.
  • Students should enter their registered email address and password.
  • Then, students should enter the Captcha Code as shown in the text box.
  • Click ‘Login’ to view the Vidya Lakshmi Dashboard page for students. It provides various services that can be availed by students using the portal.

Vidya Lakshmi Portal Searching for Loan Schemes

Vidya Lakshmi Education Loan Search enables students to search for different types of loan schemes as given below:

Location of StudyCourse TypeThe Requirement of Loan Amount
IndiaUndergraduateBelow 4.0 Lakhs
AbroadPost-graduateBetween 4.0 Lakhs and 7.5 Lakhs
AllProfessional CourseMore than 7.5 Lakhs
Vocational CourseAll loan values

Refer to the below-given details to search for the correct loan scheme on Vidya Lakshmi Portal.

  • Students should log in to the Vidya Lakshmi Portal Student Login.
  • Select  ‘Search for Loan Scheme’ appear on the Dashboard page of the portal.
  • You can see different tabs on top of the loan search page.
  • After this, you will find a dialog box with 3 options. These are ‘Select the country of study’, ‘Select course’, and ‘Select the loan amount required’ in the left-most corner.
  • Students can select options as per their requirements.
  • Click on search to view a list of banks and the education loan schemes offered by them on the right side of the page.

Students should remember the following details while searching for loan schemes.

  • Maximum loan amount
  • Minimum education loan interest rate
  • The minimum margin for loan repayment
  • Maximum moratorium period
  • Least extra charges like documentation charges etc.

Vidya Lakshmi Portal CELAF Guidelines

Students have to fill the CELAF to apply for an education loan from Vidya Lakshmi Portal. Students can able to know which information and documents required for education loan schemes through CELAF. It also enables the bank to get students documents in one place. So that student is not required to run behind bank officials during the education loan sanction.

Students are required to fill the following information available in Vidya Lakshmi CELAF.

  • Personal Information
  • Information of relationship with Bank
  • Course Loan Particulars
  • Cost of course  or Source of finance
  • Information of securities offered
  • Prospects of earning after completion of the course
  • Necessary Documents.

Vidya Lakshmi Portal CELAF Registration Process

Refer to the below-given details for CELAF registration.

  • Students should log in to Vidya Lakshmi Portal with their ID and password.
  • Select the ‘Loan Application Form’ from the student login page.
  • Read the instructions available on the CELAF page.
  • Click on the tabs one by one appears on top of the page. Fill the information as given in the list.
  • Save each tab information before going to the next tab.
  • In the last tab, save the completed application by uploading the necessary documents.
  • Click the checkbox of the declaration on the last page of uploading documents.
  • Click on the website agreement terms & conditions below the checkbox.
  • Click on submit to complete the registration process.

Vidya Lakshmi Portal Documents Required

Following documents are required to apply for an Education Loan:

  • Mark sheet of last qualifying examination;
  • Proof of admission (should compulsorily consist the name of institution and course)
  • Proof of income/assets (if any)
  • Photos to be provided for Student / Parent / Guarantor, whose income details have been provided.

Vidya Lakshmi Portal Check the Education Loan Status

Students can view their loan application status in this portal. There is a provision to upload the student’s study loan processing report on the portal dashboard. Due to this, the students who are staying in remote areas will be benefited. Since there is a commutation problem in these areas. If the bank found any issue in a specific loan application then it will be updated in the ‘Remarks’ of the application status. Students can check their loan status as given below:

  • Go to the Vidyalakshmi Student Login page
  • Search for ‘Application Status’ on the homepage of the portal
  • Click on application status to view the status of the loan application

Usually, for giving the response to any queries or demands for necessary documents banks will take at least 15 days of time.

Vidya Lakshmi Portal Education Loan Interest Subsidy Schemes

Students from deprived sections can avail of study loan benefits without worrying about interest for a particular period. Even eligible students who wish to pursue higher education abroad can avail of these subsidies. As per the recent research, the CSIS Scheme by MHRD, India provides study loans to students up to 7.5 Lakhs without any guarantee.

The study loan interest paid by students during their course duration covered in the Subsidy Scheme. Students no need to apply for internet subsidy benefits. Since students can be considered interest subsidy under all VidyaLakshmi Education Loan Schemes. The Education Loan Subsidy Scheme of CSIS features are listed below:

  • Student’s family income from all sources must be less than 4.5 Lakhs per annum to avail of this scheme.
  • Students can avail of this scheme only once, either in post-graduation or graduation.
  • The interest-free study loan of up to 7.5 Lakhs can be covered under this scheme.
  • The interest subsidy applies up to the course duration for which you are applying the loan.
  • If the student leaves the educational institution due to any reason then the Interest subsidy will be revoked. The student might have to pay the loan EMIs with interest in this situation.

Vidya Lakshmi Karyakram of Vidya Lakshmi Portal

This program initiated by Prime Minister for unified scholarship and education loan portal. Launched by honorable Finance Minister Arun Jaitley in 2015-16. The Portal is aimed to avoid the financial restrictions of students in India. Since education in India is becoming more expensive day by day. The government initiated this Karyakram to support students in providing more affordable education. Students can also choose Govt. scholarships to manage finance for their education. This portal has linked to the National Scholarship portal. That supports students in availing different scholarships along with the education loans.

This portal enables students to apply for education loans in many banks without concern for hidden charges. The Portal also provides services like education loan tenure extension and loan renewal. The Vidya Lakshmi Karyakram Loan Website operated by NSDL offers the benefit of eliminating loan agents. Students can choose the education loans that suits their need and course structure. They can apply for the loan sitting in the comfort of their homes. Then, complete the process for pursuing a good education.

FAQs on Vidya Lakshmi Portal

Question 1.
Why should Vidya Lakshmi Portal?

Answer:
Vidya Lakshmi Portal is one of a kind portal for students who are looking for Education Loan. This portal enables students to look and apply for education loan applications in banks. Students can access the portal to track the education loan applications anywhere, anytime in banks.

Question 2.
How many Indian Banks are listed under Vidya Lakshmi Portal?

Answer:
This portal consists of 96 different types of education loan schemes from a list of 36 Indian Banks.

Question 3.
What is CELAF?

Answer:
CELAF is Common Education Loan Application Form which enables students to apply for many banks.

Question 4.
What is the Central Sector Interest Subsidy (CSIS) Scheme?

Answer:
CSIS is a unique scheme initiated by the MHRD, Govt. of India. This scheme supports those students who have financial problems for their education.

Question 5.
How many banks can be applied at the same time under Vidya Lakshmi Portal?

Answer:
This portal enables students to apply to 3 different banks at the same time.

Scholarship for Students

I hope this article will help you to get information about Vidya Lakshmi Portal. For any queries related to Vidya Lakshmi Portal, leave it in the comment box.

The post Vidya Lakshmi Portal | Features, Benefits, Schemes, Registration Process appeared first on Learn CBSE.

Polynomials Class 10 Extra Questions Maths Chapter 2

Pair of Linear Equations in Two Variables Class 10 Extra Questions Maths Chapter 3

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Pair of Linear Equations in Two Variables Class 10 Extra Questions Maths Chapter 3

Extra Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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You can also download Class 10 Maths NCERT Solutions to help you to revise complete syllabus and score more marks in your examinations.

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Quadratic Equations Class 10 Extra Questions Maths Chapter 4

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Quadratic Equations Class 10 Extra Questions Maths Chapter 4

Extra Questions for Class 10 Maths Chapter 4 Quadratic Equations. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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Quadratic Equations CBSE Class 10 Extra Questions Q2:
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Extra Questions for Class 10 Maths

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Arithmetic Progressions Class 10 Extra Questions Maths Chapter 5

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Arithmetic Progressions Class 10 Extra Questions Maths Chapter 5

Extra Questions for Class 10 Maths Chapter 5 Arithmetic Progressions. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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Coordinate Geometry Class 10 Extra Questions Maths Chapter 7

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Coordinate Geometry Class 10 Extra Questions Maths Chapter 7

Extra Questions for Class 10 Maths Chapter 7 Coordinate Geometry. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13

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Surface Areas and Volumes Class 10 Extra Questions Maths Chapter 13

Extra Questions for Class 10 Maths Chapter 13 Surface Areas and Volumes. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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Extra Questions for Class 10 Maths

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Statistics Class 10 Extra Questions Maths Chapter 14

Probability Class 10 Extra Questions Maths Chapter 15

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Probability Class 10 Extra Questions Maths Chapter 15

Extra Questions for Class 10 Maths Chapter 15 Probability. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

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Triangles Class 10 Notes Maths Chapter 6

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CBSE Class 10 Maths Notes Chapter 6 Triangles Pdf free download is part of Class 10 Maths Notes for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 6 Triangles. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

CBSE Class 10 Maths Notes Chapter 6 Triangles

SIMILAR FIGURES

  • Two figures having the same shape but not necessary the same size are called similar figures.
  • All congruent figures are similar but all similar figures are not congruent.

SIMILAR POLYGONS
Two polygons are said to be similar to each other, if:
(i) their corresponding angles are equal, and
(ii) the lengths of their corresponding sides are proportional

Example:
Any two line segments are similar since length are proportional
Triangles Class 10 Notes Maths Chapter 6 1
Any two circles are similar since radii are proportional
Triangles Class 10 Notes Maths Chapter 6 2
Any two squares are similar since corresponding angles are equal and lengths are proportional.
Triangles Class 10 Notes Maths Chapter 6 3
Note:
Similar figures are congruent if there is one to one correspondence between the figures.
∴ From above we deduce:

Any two triangles are similar, if their
Triangles Class 10 Notes Maths Chapter 6 4

(i) Corresponding angles are equal
∠A = ∠P
∠B = ∠Q
∠C = ∠R

(ii) Corresponding sides are proportional
\frac { AB }{ PQ } =\frac { AC }{ PR } =\frac { BC }{ QR }

THALES THEOREM OR BASIC PROPORTIONALITY THEORY

Theorem 1:
State and prove Thales’ Theorem.
Statement:
If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.
Triangles Class 10 Notes Maths Chapter 6 5
Given: In ∆ABC, DE || BC.
To prove: \frac { AD }{ DB } =\frac { AE }{ EC }
Const.: Draw EM ⊥ AD and DN ⊥ AE. Join B to E and C to D.
Proof: In ∆ADE and ∆BDE,
\frac { ar(\Delta ADE) }{ ar(\Delta BDE) } =\frac { \frac { 1 }{ 2 } \times AD\times EM }{ \frac { 1 }{ 2 } \times DB\times EM } =\frac { AD }{ DB } ……..(i) [Area of ∆ = \frac { 1 }{ 2 } x base x corresponding altitude
In ∆ADE and ∆CDE,
\frac { ar(\Delta ADE) }{ ar(\Delta CDE) } =\frac { \frac { 1 }{ 2 } \times AE\times DN }{ \frac { 1 }{ 2 } \times EC\times DN } =\frac { AE }{ EC }
∵ DE || BC …[Given
∴ ar(∆BDE) = ar(∆CDE)
…[∵ As on the same base and between the same parallel sides are equal in area
From (i), (ii) and (iii),
\frac { AD }{ DB } =\frac { AE }{ EC }

CRITERION FOR SIMILARITY OF TRIANGLES

Two triangles are similar if either of the following three criterion’s are satisfied:

  • AAA similarity Criterion. If two triangles are equiangular, then they are similar.
  • Corollary(AA similarity). If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.
  • SSS Similarity Criterion. If the corresponding sides of two triangles are proportional, then they are similar.
  • SAS Similarity Criterion. If in two triangles, one pair of corresponding sides are proportional and the included angles are equal, then the two triangles are similar.

Results in Similar Triangles based on Similarity Criterion:

  1. Ratio of corresponding sides = Ratio of corresponding perimeters
  2. Ratio of corresponding sides = Ratio of corresponding medians
  3. Ratio of corresponding sides = Ratio of corresponding altitudes
  4. Ratio of corresponding sides = Ratio of corresponding angle bisector segments.

AREA OF SIMILAR TRIANGLES

Theorem 2.
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
Given: ∆ABC ~ ∆DEF
To prove: \frac { ar(\Delta ABC) }{ ar(\Delta DEF) } =\frac { { AB }^{ 2 } }{ { DE }^{ 2 } } =\frac { { BC }^{ 2 } }{ { EF }^{ 2 } } =\frac { { AC }^{ 2 } }{ { DF }^{ 2 } }
Const.: Draw AM ⊥ BC and DN ⊥ EF.
Proof: In ∆ABC and ∆DEF
Triangles Class 10 Notes Maths Chapter 6 6
\frac { ar(\Delta ABC) }{ ar(\Delta DEF) } =\frac { \frac { 1 }{ 2 } \times BC\times AM }{ \frac { 1 }{ 2 } \times EF\times DN } =\frac { BC }{ EF } .\frac { AM }{ DN } …(i) ……[Area of ∆ = \frac { 1 }{ 2 } x base x corresponding altitude
∵ ∆ABC ~ ∆DEF
\frac { AB }{ DE } =\frac { BC }{ EF } …..(ii) …[Sides are proportional
∠B = ∠E ……..[∵ ∆ABC ~ ∆DEF
∠M = ∠N …..[each 90°
∴ ∆ABM ~ ∆DEN …………[AA similarity
\frac { AB }{ DE } =\frac { AM }{ DN } …..(iii) …[Sides are proportional
From (ii) and (iii), we have: \frac { BC }{ EF } =\frac { AM }{ DN } …(iv)
From (i) and (iv), we have: \frac { ar(\Delta ABC) }{ ar(\Delta DEF) } =\frac { BC }{ EF } .\frac { BC }{ EF } =\frac { { BC }^{ 2 } }{ { EF }^{ 2 } }
Similarly, we can prove that
\frac { ar(\Delta ABC) }{ ar(\Delta DEF) } =\frac { { AB }^{ 2 } }{ { DE }^{ 2 } } =\frac { AC^{ 2 } }{ DF^{ 2 } }
\frac { ar(\Delta ABC) }{ ar(\Delta DEF) } =\frac { { AB }^{ 2 } }{ { DE }^{ 2 } } =\frac { { BC }^{ 2 } }{ { EF }^{ 2 } } =\frac { AC^{ 2 } }{ DF^{ 2 } }

Results based on Area Theorem:

  1. Ratio of areas of two similar triangles = Ratio of squares of corresponding altitudes
  2. Ratio of areas of two similar triangles = Ratio of squares of corresponding medians
  3. Ratio of areas of two similar triangles = Ratio of squares of corresponding angle bisector segments.

Note:
If the areas of two similar triangles are equal, the triangles are congruent.

PYTHAGORAS THEOREM

Theorem 3:
State and prove Pythagoras’ Theorem.
Statement:
Prove that, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Given: ∆ABC is a right triangle right-angled at B.
To prove: AB² + BC² = AC²
Const.: Draw BD ⊥ AC
Proof: In ∆s ABC and ADB,
Triangles Class 10 Notes Maths Chapter 6 7
∠A = ∠A …[common
∠ABC = ∠ADB …[each 90°
∴ ∆ABC ~ ∆ADB …[AA Similarity
\frac { AB }{ AD } =\frac { AC }{ AB } ………[sides are proportional]
⇒ AB² = AC.AD
Now in ∆ABC and ∆BDC
∠C = ∠C …..[common]
∠ABC = ∠BDC ….[each 90°]
∴ ∆ABC ~ ∆BDC …..[AA similarity]
\frac { BC }{ DC } =\frac { AC }{ BC } ……..[sides are proportional]
BC² = AC.DC …(ii)
On adding (i) and (ii), we get
AB² + BC² = ACAD + AC.DC
⇒ AB² + BC² = AC.(AD + DC)
AB² + BC² = AC.AC
∴AB² + BC² = AC²

CONVERSE OF PYTHAGORAS THEOREM

Theorem 4:
State and prove the converse of Pythagoras’ Theorem.
Statement:
Prove that, in a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.
Triangles Class 10 Notes Maths Chapter 6 8
Given: In ∆ABC, AB² + BC² = AC²
To prove: ∠ABC = 90°
Const.: Draw a right angled ∆DEF in which DE = AB and EF = BC
Proof: In ∆ABC,
AB² + BC² = AC² …(i) [given]
In rt. ∆DEF
DE² + EF² = DF² …[by pythagoras theorem]
AB² + BC² = DF² …..(ii) …[DE = AB, EF = BC]
From (i) and (ii), we get
AC² = DF²
⇒ AC = DF
Now, DE = AB …[by cont]
EF = BC …[by cont]
DF = AC …….[proved above]
∴ ∆DEF ≅ ∆ABC ……[sss congruence]
∴ ∠DEF = ∠ABC …..[CPCT]
∠DEF = 90° …[by cont]
∴ ∠ABC = 90°

Results based on Pythagoras’ Theorem:
(i) Result on obtuse Triangles.
If ∆ABC is an obtuse angled triangle, obtuse angled at B,
If AD ⊥ CB, then
AC² = AB² + BC² + 2 BC.BD
Triangles Class 10 Notes Maths Chapter 6 9

(ii) Result on Acute Triangles.
If ∆ABC is an acute angled triangle, acute angled at B, and AD ⊥ BC, then
AC² = AB² + BC² – 2 BD.BC.
Triangles Class 10 Notes Maths Chapter 6 10

Class 10 Maths Notes
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Coordinate Geometry Class 10 Notes Maths Chapter 7

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CBSE Class 10 Maths Notes Chapter 7 Coordinate Geometry Pdf free download is part of Class 10 Maths Notes for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 7 Coordinate Geometry. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

CBSE Class 10 Maths Notes Chapter 7 Coordinate Geometry

  • Position of a point P in the Cartesian plane with respect to co-ordinate axes is represented by the ordered pair (x, y).
    Coordinate Geometry Class 10 Notes Maths Chapter 7 1
  • The line X’OX is called the X-axis and YOY’ is called the Y-axis.
  • The part of intersection of the X-axis and Y-axis is called the origin O and the co-ordinates of O are (0, 0).
  • The perpendicular distance of a point P from the Y-axis is the ‘x’ co-ordinate and is called the abscissa.
  • The perpendicular distance of a point P from the X-axis is the ‘y’ co-ordinate and is called the ordinate.
  • Signs of abscissa and ordinate in different quadrants are as given in the diagram:
    Coordinate Geometry Class 10 Notes Maths Chapter 7 2
  • Any point on the X-axis is of the form (x, 0).
  • Any point on the Y-axis is of the form (0, y).
  • The distance between two points P(x1, y1) and Q (x2, y2) is given by
    PQ = \sqrt { { \left( { x }_{ 2 }-{ x }_{ 1 } \right) }^{ 2 }+{ \left( { y }_{ 2 }-{ y }_{ 1 } \right) }^{ 2 } }
    Note. If O is the origin, the distance of a point P(x, y) from the origin O(0, 0) is given by
    OP = \sqrt { { x }^{ 2 }+{ y }^{ 2 } }

Section formula. The coordinates of the point which divides the line segment joining the points A(x1, y1) and B(x2, y2) internally in the ratio m : n are:
Coordinate Geometry Class 10 Notes Maths Chapter 7 3
The above formula is section formula. The ratio m: n can also be written as \frac { m }{ n } : 1 or k : 1, The
co-ordinates of P can also be written as P(x,y) = \frac { { kx }_{ 2 }+{ x }_{ 1 } }{ k+1 } ,\frac { { ky }_{ 2 }+{ y }_{ 1 } }{ k+1 }

The mid-point of the line segment joining the points P(x1, y1) and Q(x2, y2) is
Coordinate Geometry Class 10 Notes Maths Chapter 7 4
Here m : n = 1 :1.

Area of a Triangle. The area of a triangle formed by points A(x1 y1), B(x2, y2) and C(x3, y3) is given by | ∆ |,
where ∆ = \frac { 1 }{ 2 } \left[ { x }_{ 1 }\left( { y }_{ 2 }-{ y }_{ 3 } \right) +{ x }_{ 2 }\left( { y }_{ 3 }-{ y }_{ 1 } \right) +{ x }_{ 3 }\left( { y }_{ 1 }-{ y }_{ 2 } \right) \right]
where ∆ represents the absolute value.

  • Three points are collinear if |A| = 0.
  • If P is centroid of a triangle then the median divides it in the ratio 2 :1. Co-ordinates of P are given by
    P=\left( \frac { { x }_{ 1 }+{ x }_{ 2 }+{ x }_{ 3 } }{ 3 } ,\frac { { y }_{ 1 }+{ y }_{ 2 }+{ y }_{ 3 } }{ 3 } \right)

Area of a quadrilateral, ABCD = ar(∆ABC) + ar(∆ADC)
Coordinate Geometry Class 10 Notes Maths Chapter 7 5

Class 10 Maths Notes
NCERT Solutions

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Introduction to Trigonometry Class 10 Notes Maths Chapter 8

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CBSE Class 10 Maths Notes Chapter 8 Introduction to Trigonometry Pdf free download is part of Class 10 Maths Notes for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 8 Introduction to Trigonometry. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

CBSE Class 10 Maths Notes Chapter 8 Introduction to Trigonometry

  • Position of a point P in the Cartesian plane with respect to co-ordinate axes is represented by the ordered pair (x, y).
  • Trigonometry is the science of relationships between the sides and angles of a right-angled triangle.
  • Trigonometric Ratios: Ratios of sides of right triangle are called trigonometric ratios.
    Consider triangle ABC right-angled at B. These ratios are always defined with respect to acute angle ‘A’ or angle ‘C.
  • If one of the trigonometric ratios of an acute angle is known, the remaining trigonometric ratios of an angle can be easily determined.
  • How to identify sides: Identify the angle with respect to which the t-ratios have to be calculated. Sides are always labelled with respect to the ‘θ’ being considered.

Let us look at both cases:
Introduction to Trigonometry Class 10 Notes Maths Chapter 8 1
In a right triangle ABC, right-angled at B. Once we have identified the sides, we can define six t-Ratios with respect to the sides.

case Icase II
(i) sine A = \frac { perpendicular }{ hypotenuse } =\frac { BC }{ AC } (i) sine C = \frac { perpendicular }{ hypotenuse } =\frac { AB }{ AC }
(ii) cosine A = \frac { base }{ hypotenuse } =\frac { AB }{ AC } (ii) cosine C = \frac { base }{ hypotenuse } =\frac { BC }{ AC }
(iii) tangent A = \frac { perpendicular }{ base } =\frac { BC }{ AB } (iii) tangent C = \frac { perpendicular }{ base } =\frac { AB }{ BC }
(iv) cosecant A = \frac { hypotenuse }{ perpendicular } =\frac { AC }{ BC } (iv) cosecant C = \frac { hypotenuse }{ perpendicular } =\frac { AC }{ AB }
(v) secant A = \frac { hypotenuse }{ base } =\frac { AC }{ AB } (v) secant C = \frac { hypotenuse }{ base } =\frac { AC }{ BC }
(v) cotangent A = \frac { base }{ perpendicular } =\frac { AB }{ BC } (v) cotangent C = \frac { base }{ perpendicular } =\frac { BC }{ AB }

Note from above six relationships:

cosecant A = \frac { 1 }{ sinA }, secant A = \frac { 1 }{ cosineA }, cotangent A = \frac { 1 }{ tanA },

However, it is very tedious to write full forms of t-ratios, therefore the abbreviated notations are:
sine A is sin A
cosine A is cos A
tangent A is tan A
cosecant A is cosec A
secant A is sec A
cotangent A is cot A

TRIGONOMETRIC IDENTITIES

An equation involving trigonometric ratio of angle(s) is called a trigonometric identity, if it is true for all values of the angles involved. These are:
tan θ = \frac { sin\theta }{ cos\theta }
cot θ = \frac { cos\theta }{ sin\theta }

  • sin² θ + cos² θ = 1 ⇒ sin² θ = 1 – cos² θ ⇒ cos² θ = 1 – sin² θ
  • cosec² θ – cot² θ = 1 ⇒ cosec² θ = 1 + cot² θ ⇒ cot² θ = cosec² θ – 1
  • sec² θ – tan² θ = 1 ⇒ sec² θ = 1 + tan² θ ⇒ tan² θ = sec² θ – 1
  • sin θ cosec θ = 1 ⇒ cos θ sec θ = 1 ⇒ tan θ cot θ = 1

ALERT:
A t-ratio only depends upon the angle ‘θ’ and stays the same for same angle of different sized right triangles.
Introduction to Trigonometry Class 10 Notes Maths Chapter 8 2
Value of t-ratios of specified angles:

∠A30°45°60°90°
sin A0\frac { 1 }{ 2 }\frac { 1 }{ \sqrt { 2 } } \frac { \sqrt { 3 } }{ 2 } 1
cos A1\frac { \sqrt { 3 } }{ 2 } \frac { 1 }{ \sqrt { 2 } } \frac { 1 }{ 2 }0
tan A0\frac { 1 }{ \sqrt { 3 } } 1√3not defined
cosec Anot defined2√2\frac { 2 }{ \sqrt { 3 } } 1
sec A1\frac { 2 }{ \sqrt { 3 } } √22not defined
cot Anot defined√31\frac { 1 }{ \sqrt { 3 } } 0

The value of sin θ and cos θ can never exceed 1 (one) as opposite side is 1. Adjacent side can never be greater than hypotenuse since hypotenuse is the longest side in a right-angled ∆.

‘t-RATIOS’ OF COMPLEMENTARY ANGLES
Introduction to Trigonometry Class 10 Notes Maths Chapter 8 3
If ∆ABC is a right-angled triangle, right-angled at B, then
∠A + ∠C = 90° [∵ ∠A + ∠B + ∠C = 180° angle-sum-property]
or ∠C = (90° – ∠A)

Thus, ∠A and ∠C are known as complementary angles and are related by the following relationships:
sin (90° -A) = cos A; cosec (90° – A) = sec A
cos (90° – A) = sin A; sec (90° – A) = cosec A
tan (90° – A) = cot A; cot (90° – A) = tan A

Class 10 Maths Notes
NCERT Solutions

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Polynomials Class 10 Notes Maths Chapter 2

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CBSE Class 10 Maths Notes Chapter 2 Polynomials Pdf free download is part of Class 10 Maths Notes for Quick Revision. Here we have given NCERT Class 10 Maths Notes Chapter 2 Polynomials. According to new CBSE Exam Pattern, MCQ Questions for Class 10 Maths Carries 20 Marks.

CBSE Class 10 Maths Notes Chapter 2 Polynomials

  • “Polynomial” comes from the word ‘Poly’ (Meaning Many) and ‘nomial’ (in this case meaning Term)-so it means many terms.
  • A polynomial is made up of terms that are only added, subtracted or multiplied.
  • A quadratic polynomial in x with real coefficients is of the form ax² + bx + c, where a, b, c are real numbers with a ≠ 0.
  • Degree – The highest exponent of the variable in the polynomial is called the degree of polynomial. Example: 3x3 + 4, here degree = 3.
  • Polynomials of degrees 1, 2 and 3 are called linear, quadratic and cubic polynomial respectively.
  • A polynomial can have terms which have Constants like 3, -20, etc., Variables like x and y and Exponents like 2 in y².
  • These can be combined using addition, subtraction and multiplication but NOT DIVISION.
  • The zeroes of a polynomial p(x) are precisely the x-coordinates of the points, where the graph of y = p(x) intersects the x-axis.

If α and β are the zeroes of the quadratic polynomial ax² + bx + c, then
sum\quad of\quad zeros,\alpha +\beta =\frac { -b }{ a } =\frac { -coefficient\quad of\quad x }{ coefficient\quad of\quad { x }^{ 2 } }
product\quad of\quad zeros,\alpha \beta =\frac { c }{ a } =\frac { constant\quad term }{ coefficient\quad of\quad { x }^{ 2 } }

If α, β, γ are the zeroes of the cubic polynomial ax3 + bx2 + cx + d = 0, then
\alpha +\beta +\gamma =\frac { -b }{ a } =\frac { -coefficient\quad of\quad { x }^{ 2 } }{ coefficient\quad of\quad { x }^{ 3 } }
\alpha \beta +\beta \gamma +\gamma \alpha =\frac { c }{ a } =\frac { coefficient\quad of\quad { x } }{ coefficient\quad of\quad { x }^{ 3 } }
\alpha \beta \gamma =\frac { -d }{ a } =\frac { -constant\quad term }{ coefficient\quad of\quad { x }^{ 3 } }

Zeroes (α, β, γ) follow the rules of algebraic identities, i.e.,
(α + β)² = α² + β² + 2αβ
∴(α² + β²) = (α + β)² – 2αβ

DIVISION ALGORITHM:
If p(x) and g(x) are any two polynomials with g(x) ≠ 0, then
p(x) = g(x) × q(x) + r(x)
Dividend = Divisor x Quotient + Remainder

Remember this!

  • If r (x) = 0, then g (x) is a factor of p (x).
  • If r (x) ≠ 0, then we can subtract r (x) from p (x) and then the new polynomial formed is a factor of g(x) and q(x).
Class 10 Maths Notes
NCERT Solutions

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Narendra Modi Education Scholarship Scheme 2019 for 10th & 12th Marks Basis

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Narendra Modi Education Scholarship Scheme 2019: Our Respective PM, Narendra Modi has announced Scholarship Schemes for Class 10th and 12th Students on basis of Marks. This Scholarship Scheme is disbursed in the name of  Abdul Kalam and Atal Bihari Vajpayee for the academic Year of 2019. For students who are willing to go for higher studies, this scheme is helpful to them to go for higher education. Scholarship Scheme is based on board exam Marks, and scholarship payment is different for different marks. Read on to know more about how to apply for Scholarship, Scholarship Amount, Eligibility Criteria, Qualification, Education Scholarship Registration.

Scholar Ship Scheme for Class 10th and 12th Students

Scholarship Scheme Details for Class 10th and 12th

Students who passed in Board Exams of class 10th and 12th can apply for this Scholarship Scheme 2019. PM Modi gave opportunities for Students to grow in their Education Carrer.

Download Application form for Central Sector Scholarship Scheme From Here

Number of Scholarships Available / Amount

  • A total number of 5500 wards/widows of Ex-servicemen are selected for Scholarship in each academic year.
  • Scholarships are equally divided amongst boys and girls.
  • Scholarships are paid for a period of one to five years as per the duration of the courses approved by the concerned regulatory bodies.
  • The scholarship amount is paid annually to the selected students.
  • Scholarship Amount, 2000/- PM For Boys and 2250/- PM For Girls

Get the List of Authorised Professional Degree Courses Under PMSS From Here

Students Eligible for Scholarship

  • Students who have taken admission in 1st year (except Lateral Entry & Integrated course) are only eligible to apply for PMSS. Students must apply online on KSB web portal www.ksb.gov.in. Students should have scored 60% and above in Minimum Educational Qualification (MEQ) i.e 10+2 / Diploma / Graduation.
  • Students studying in 2nd and subsequent years are not eligible. (except for integrated courses – where the 1st portion is academic and 2nd portion is integrated as a professional course, in such cases student need to apply for the scholarship on taking admission as per ‘Para 16 of Important Instructions’ available at link PMSS – New Application – How to Apply for Scholarship.
  • Students who are Dependent Wards / Widows of Ex-Servicemen & Ex-Coast Guard personnel.
  • Wards of Civilians including Para-Military Personnel are Not Eligible.

Scholarships for Students

Priority for Grant of Scholarship

Order of preference for selection of candidates will be as under

  • Category 1 – Wards & Widows of ESM / Ex-Coast Guard personnel killed in action.
  • Category 2  – Wards of ESM / Ex-Coast Guard personnel disabled in action and boarded out of service with disability attributable to Military / Coast Guard service.
  • Category 3 – Wards & Widows of ESM / Ex-Coast Guard personnel who died while in service for causes attributable to Military / Coast Guard Service.
  • Category 4 – Wards of ESM / Ex-Coast Guard personnel disabled in service with disability attributable to Military / Coast Guard Service.
  • Category 5 – Wards & Widows of ESM / Ex-Coast Guard personnel in receipt of gallantry awards.
  • Category 6 – Wards / Widows of ESM / Ex-Coast Guard personnel (PBOR Only).

Eligible Courses

The Eligibility Criteria for PMSS Courses are as Under

  • First Professional Degree Courses like BE, B Tech, BDS, MBBS, BEd, BBA, BCA, B Pharma, etc. duly recognized by the respective Government Regulatory Bodies, such as All India Council for Technical Education, Medical Council of India, UGC, etc.
  • Master Degree Courses are not eligible for PMSS except MBA / Management / MCA Courses.
  • Students studying abroad are not eligible for this scheme. No distance learning course is permitted under PMSS. PMSS can be availed for ONE COURSE only

Minimum Eligible Marks in MEQ

Minimum Educational Qualification (MEQ) for entry to various professional courses differs e.g. for MBBS it is 10+2 whereas for BE/B Tech it is 10+2 / Diploma, It is graduation for B.Ed and MBA. A candidate must have minimum of 60% marks in MEQ to apply for PM Scholarship Scheme. All subjects will be taken for a calculation of 60% marks and not out of the best subjects.

Scholarship Scheme for Integrated Courses

Tamil Nadu State Education Scholarship Scheme Details

Educational Scholarship – Educational Scholarship to Children of Servicemen / Ex-Servicemen, Sri Lankan and other Refugees.

Educational Scholarship to Children of Scavengers / Sweepers – Educational Scholarship to Children of Scavengers/sweepers

Educational Scholarship to School Students – Adi Dravida, Tribal, Most Backward Denotified Communities. Backward Communities Welfare Scholarship

Scholar Ship Scheme for School Students

S.NoName of the ScholarshipInstituted By/DonorValue of ScholarshipNorms for scholarship
1Prime Minister ScholarshipGovt. of IndiaTo the wards of Ex-serviceman
2Municipal Corporation School Students ScholarshipT.N. Urban Finance and Infrastructure Development Corpn. Ltd., Ch-35School toppers from Corporation School
3Cine/Beedi Workers Scholarship from the Ministry of Labour, GOIGovt. of India/Ministry of LabourWards of Cine/Beedi workers
4Handicapped Scholarship from State Govt.T.N. Govt.(application forwarded only and disbursement of scholarship)
5Police Centenary ScholarshipTamil Nadu Govt.To the Wards of Police Dept. Employees
6FAEA ScholarshipFoundation for Academic Excellence & Access, New Delhi.www.faeaindia.org.(application forwarded only and disbursement of scholarship)
7Postal ScholarshipPostal Departmentissue bonafide only
8Rangachariar Memorial Education Trust ScholarshipRangachariar Memorial Education Trust, Chennai 28.issue bonafide only
9T.N. Agriculture Labour Welfare Society ScholarshipT.N. Agriculture Labour Welfare Society.issue bonafide only
10IAFBA SUBROTO Memorial ScholarshipIAFBA SUBROTO Memorialissue bonafide only
11BSNL ScholarshipTo the Wards of Employees of BSNLissue bonafide only
12Sophia Merit ScholarshipSophia Merit Scholarships Inc.www.Sophiascholarship.orgissue bonafide only
13NLC ScholarshipNLCTo the Wards of Employees of NLC.issue bonafide only
14SBI ScholarshipSBITo the Wards of Employees of SBI.issue bonafide only
15Port Trust ScholarshipPort TrustTo the Wards of Employees of Port Trust.issue bonafide only
16Railway ScholarshipRailwayTo the Wards of Employees of Railway.issue bonafide only
17Golden Jubilee Scholarship SchemeLICBased on meritissue bonafide only

Scholarship for 12th Passed Students

The post Narendra Modi Education Scholarship Scheme 2019 for 10th & 12th Marks Basis appeared first on Learn CBSE.

Pragati Scholarship | Eligibility, Application, Rewards

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AICTE Pragati Scholarships 2019-20: Pragati Scholarship is an MHRD Scheme being implemented by AICTE strived at assisting the Advancement of Girls pursuing Technical Education. Education is one of the most important means of enabling women with the knowledge, skill, and self-confidence required to join fully in the development process. This is an effort to allow young women for further education and prepare for a successful future by “Empowering Women through Technical Education”

All India Council Technical Education (AICTE) welcomes online applications for Pragati Scholarship Schemes for the academic year 2019. The scholarship will be given to only two girl children of a family for pursuing her undergraduate professional/diploma courses. In a year total of 4000 scholarship will be offered to the selected girl students  (2000 for Degree and 2000 for Diploma). The Last Date to apply for the Pragati Scholarship is tentatively on the 2nd week of October 2019.

Pragati Scholarship Eligibility Criteria

The details of the conditions required to apply for the Pragati scheme are given here. Candidates should make sure they fulfill all the criteria before applying for the scholarship.

  • Up to Two Girls per family can apply.
  • Family income should not be more than Rs. 8 Lakhs per Annum (in case of a married girl, the income of parents/in-laws, whichever is higher will be considered)
  • Students Admitted for Diploma/Undergraduate Degree Level Programmes/Courses in AICTE Approved Institutions.
  • Only for the students admitted in the first year of their Degree/Diploma for the academic year 2017-18.
  • The selection of the candidate will be made on merit on the basis of qualifying examination to peruse the respective Technical Degree/Diploma course from any of the AICTE approved institutions.

Scholarship for Students

Pragati Scholarship Application Process

Check the complete step by step procedure to apply for Pragati Scholarship.

  • Go to AICTE Portal @ https://www.aicte-pragati-saksham-gov.in/ to register for Pragati Scheme.
  • Click on “Register Here” to create a new profile. Enter the details and click on “Register”.
  • A confirmation e-mail link will be sent to the registered e-mail ID. Please click on the link to confirm your registration.
  • Login again at https://www.aicte-pragati-saksham-gov.in/ with the registered e-mail Id/User name and Password to fill the online application form.
  • Enter personal details, details of family and income, details of the Institute in which Admission is taken for first-year Degree or Diploma course along with fee paid details, SSC/10th Standard and HSC/12th Standard details, details of the Aadhar seeded Savings Bank Account.
  • Attach the scan copies of all the necessary documents in jpg./pdf./png. Formats.
  • Submit the application form.
  • Take the print out for future reference.

Documents Required for Pragati Scholarship

Find here all the necessary documents required to apply for the Pragati scholarship. Students have to keep ready the scan copy of all these documents before they start filling up the application form.

  • SSC/10th Standard Mark sheet.
  • HSC/12th Standard Mark sheet.
  • Annual Family Income Certificate for the financial year 2016-17 as per Annexure-I (or) in the prescribed format issued by Tehsildar or above competent Authority.
  • Admission letter issued by the Centralized Admission Authority to first-year Degree/Diploma courses for the academic year 2017-18.
  • Tuition fee paid receipt for the academic year 2017-18.
  • Scanned Copy of Aadhar Seeded Bank Pass Book showing the name of the student, Account number, IFSC code and Photograph pasted at appropriate place duly signed by Manager with the rubber stamp of Bank affixed.
  • Certificate Issued by the Director/Principal/HOD as per Annexure-II
  • Certificate issued by Competent Authority in case of candidates applying for Saksham Scheme (Only for Physically Disabled Candidates having more than 40% disability) as per the State Government Format.
  • Attested Scanned copy of SC/ST/OBC Certificate, in case applying for SC/ST/OBC category.
  • Declaration by parents duly signed stating that the information provided by their child is correct and will refund the Scholarship amount if found false at any stage a per Annexure – III
  • Aadhar Card
  • Candidate Photograph.
  • Candidate Signature.

Pragati Scholarship Benefits and Rewards

The amount of scholarship offered by the Pragati scheme and who will get the amount, other benefits are given to the students along with scholarship reward, and other related details are provided here.

  • The AICTE Pragati Scholarship rewards a total of 4000 scholarships to girl students, in which 2000 scholarships are given to students pursuing diploma and 2000 to degree students.
  • The selected scholars will receive a tuition fee of INR 30,000 or the actual tuition fee amount, whichever is less.
  • The selected scholars also become eligible to get INR 2000 per month for 10 months as incidental charges each year.
  • In case of Tuition fee waiver/reimbursement, Students are eligible to get an amount of Rs. 30,000/- for the purchase of Books/Equipment/Softwares/ Laptop/Desktop/Vehicle/Fee paid towards competitive examination application forms/exam.
  • Fees paid for competitive exams, application forms/exam fees for all examinations related to higher education/employment.

Pragati Scholarship Reservation

  • A reservation of 15% for SC candidates, 7.5% for ST candidates and 27% for OBC candidate/applicant is provided by AICTE.
  • Candidates falling under these categories have to provide their caste certificate at the time of document submission while applying for the scheme.

Important Instructions for Pragati Scholarship

  • Only the scholars who have taken admission in the first year of their degree/diploma program in the current academic year can apply for this scholarship.
  • The scanned copies of the applicant’s passport size photo and signature must be uploaded in .jpg/.pdf/.png format while filling the application form. The file size of the photo should not be more than 200 kb and signature should not be more than 50kb.
  • Students who got admission through management quota are not eligible for the AICTE Pragati Scholarship.
  • Candidates must have a general savings account of their own in a bank. They cannot use the FRILL/Minor/Joint account.
  • Direct Benefit Transfer (DBT) is used to directly transfer the scholarship amount into the selected candidate’s bank account.
  • The scholarships for degree and diploma are transferable in event of non-availability of eligible applicants in any of the degree/diploma level programs.

FAQ’s on Pragati Scholarship

Question 1.
What is Pragati Scholarship?

Answer:
Pragati Scholarship is a government scholarship scheme implemented by the All India Council for Technical Education (AICTE). Under this scholarship scheme, a total of 4000 scholarships are disbursed every year among meritorious girl students for pursuing technical education.  Tuition Fee of Rs. 30,000/- or at actual, whichever is less and Rs.2000/- per month for 10 months as incidentals charges each year.

Question 2.
What is Saksham Scholarship?

Answer:
Saksham is an MHRD Scheme being implemented by AICTE aimed at providing encouragement and support to specially-abled children to pursue Technical Education. This is an attempt to give every young student, who is otherwise specially-abled, the opportunity too studies further and prepare for a successful future. Tuition Fee of Rs. 30,000/- or at actual, whichever is less and Rs.2000/- per month for 10 months as incidentals charges each year.

Question 3.
Is AADHAAR Card Mandatory for PRAGATI (or) SAKSHAM Scholarship?

Answer:
Yes. Aadhaar card and Aadhaar seeded bank account in the name of the candidate are mandatory for submitting an online application under Pragati/Saksham schemes.

Question 4.
How the scholarship will be disbursed through College/Institute?

Answer:
The scholarship will be disbursed only through Direct Benefit Transfer (DBT) directly in the bank account of the student. The student must have a General Saving Account in the bank. (FRILL/Minor/Joint account will not be accepted).

Scholarship for 12th Passed Students

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Scholarship Scheme for 12th Passed Students | Get List of Scholarships for Class 12 Students

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Scholarship Scheme for 12th Passed Students 2019: There are many scholarship after 12th pass 2019 students introduced by the private and government organization. Students who have qualified class 12th exam and wants to continue for further studies can apply for the scholarships as per the eligibility conditions mentioned by the individual organization. These scholarship rewards will help them to pursue higher studies so that they can look forward to a bright future. In this article, we will provide you the top 10 listed scholarships in 2019, including PM Narendra Modi Scholarship. For more information keep reading the article.

List of Scholarships for Class 12th Students

Sooner, a student completes class 12th education, the stress of taking admission in the right course and institute begins to build up at a fast speed. While opting for the best course and college, it is very important, one must also know that it forms the basis of your career ahead. An alternative is to look for scholarships after 12th class that can overcome the mental load of paying a large amount of money to pursue higher education.

The available scholarships after class 12th can be of big help to students and particularly those who are trapped in financial constraints. Although taking up education loans is a choice available, scholarship opportunities after class 12th are more reliable and stable as students are not obliged to pay back the amount awarded in scholarships.

Before we go for further details of each scholarship, let us know the list of scholarships available for 12th qualified students.

Now, let us go through the scholarships individually in brief.

College Admission Scholarship Application (CASA)

College Admission Scholarship Admission (CASA) is a conventional scholarship for Class 12th pass students that help to maximize the advantages of quality higher education for the students. Students are invited to fill College Admission Scholarship Application (CASA) form which gives the opportunity to avail scholarships based on merit. The CASA application process normally starts in the month of June and there is no application fee for this scholarship.

Eligibility for CASA

  • Students who have passed the Class12th examination from CBSE, ICSE or any other recognized state board are eligible to apply.
  • Students who have finished graduation can also fill the form for post-graduation courses.
  • The institute must be AICTE or UGC recognized where the candidate goes for the admission.

Note: CASA is mainly suggested for students who have made through their class 12th and are looking for higher education.

Steps to Apply for CASA

  • Register through the official website with CASA.
  • Follow the guidance provided and fill the application form.
  • Upload the required documents.

After the submission of the application, the candidate will receive SMS and email alerts regarding their candidature and scholarships, suitable for them.

Reward: Several scholarship opportunities are available under this scheme, depending upon the credentials registered by the applicant in the form. In addition, the candidate is also eligible for INR 10,000 as per the university and provider’s responsibility.

Schindler Igniting Minds Scholarship

Schindler Igniting Minds Scholarship is a big opportunity for scholars belonging to rural regions and underprivileged classes. The scholarship is especially for class 12th pass students who are thinking to pursue diploma engineering courses like civil, electronics, telecommunication, mechanical and electronics.

The prime purpose of the Schindler scholarship is to grant financial support to worthy students. Each year, about 75 students are granted this scholarship, worth Rs. 20,000.

Eligibility for Schindler Igniting Minds Scholarship

  • Students who have qualified class 12th with science as a subject with a minimum of 65% aggregate.
  • The yearly family income of the student should not be more than Rs. 2 lakh.
  • Applicants looking forward to pursuing a diploma in engineering streams such as Electrical, Civil, Electronics, Mechanical, Electronics and Electronics, and Telecommunication can apply.
  • Applicants who are already persevering diploma courses can also apply for the scholarship.
  • The age of the applicant should not be more than 20 years.

Steps to Apply for Schindler Igniting Minds Scholarship

  • Visit the official website.
  • Login/Register using Facebook, Google Plus or Email account.
  • Once signed in, click on the link ‘Start Application’
  • Fill in all the details and upload the documents required.
  • Click on ‘Submit’

After the submission of the application, the candidates will receive SMS and email alerts regarding their candidature and scholarship approval.

INSPIRE Scholarship

INSPIRE Scholarship is also called Scholarship for Higher Education (SHE). This scholarship has been initiated by the Government of India to offer to students who fall in the top 1% rank in 12th board exams. Moreover, if a student attains the rank of up to 10,000 in NEET or JEE Advanced, then also they are eligible for it. The scholarship is awarded to 10,000 students and the amount of Rs. 80,000 is granted every year through this scholarship.

INSPIRE Scholarship has three components that are categorized into the following:

  1. Scheme for Early Attraction of Talent (SEAT): The principal aim of the SEAT is to pull young minds to study science. Under this scheme, the recipients are given an INSPIRE Award of Rs. 5,000 each. This scholarship is given to about one million science practitioners between the age group of 10 to 15 years (Class 6th to Class 10th). This scheme also provides summer camps for over 50,000 science scholars of Class 11th who can interchange ideas and experience innovations through the INSPIRE Internship.
  1. Scholarship for Higher Education (SHE): This points to attract creative talents to engage higher education in science-intensive programs. Along with the scholarship, elected candidates are also given in-depth supervision and mentorship. The plan covers 10,000 scholarships for the age group of 17 to 22 years to grant B.Sc and M.Sc courses. The scholarship is worth Rs. 80,000 per annum.
  1. Assured Opportunity for Research Careers (AORC): This scholarship is for applicants between the age group of 22 to 27 years with an intention to extend the R&D foundation. It is sub-divided into two components. The first one is the INSPIRE Fellowship which offers 1000 fellowships every year to carry out research in the field of applied sciences. The second component is the INSPIRE Faculty Scheme which is offered to 1000 post-doctoral researchers in the age group of 27 to 32 years through a contractual basis.

AICTE Pragati Scholarship for Girls

To encourage girl education in the country, AICTE offers a scholarship to female scholars who want to persevere in higher education in the technological field. AICTE awards Rs. 30,000 per year each to all the 4,000 girls.

Applications for the AICTE Pragati scholarships start in the month of August/September every year and AICTE does not conduct any entrance test for the scholarship.

Eligibility for AICTE Pragati Scholarships for Girls: Female students who are in their 1st year of the diploma or degree programs from any of the AICTE recognized colleges are suitable for the scholarship.

In case the applicant is chosen for the tuition fee reservation, the amount of Rs. 30,000/- may be reimbursed to the candidates through compensation for the purchase of books, vehicles, laptops, and desktops.

Foundation For Excellence (FFE) Scholarship

FEE Provides scholarships to students who have especially bright minds but have monetary constraints. It allows them to seek higher education in the science stream (engineers/doctors). FFE funds these students and helps them persevere in their careers in the field of their choice.

Eligibility for FFE

  • Applicants who want to pursue professional degree programs such as BE./B.Tech, Integrated 5-Year Dual-Degree M.Tech, and MBBS are eligible.
  • The marks of the applicants should not be less than 70% in the qualifying examination.
  • Candidate’s admissions to the programs should be on the grounds of merit to be eligible for the scholarship.

Dr. APJ Abdul Kalam Ignite Awards

Dr.APJ Abdul Kalam Ignite Awards is established by the National Innovation Foundation. This scholarship grants young minds with a stage to showcase their discoveries and thoughts. Students up to class 12th can participate in the same. All they need to do is to write their ideas in a simple text and email it to the official website. The final date for enrollment is usually in the last week of August each year.

Ignite Awards is a yearly national competition intended to secure the creative and innovative spirit of children. While drawing the ideas, the National Innovation Foundation is seeming for original and creative technological approaches to solving everyday difficulties. The idea can be used to resolve many household problems or laborers or related to environmental pollution.

Eligibility for Ignite Awards

  • Students up to Class 12th can express their ideas for the Ignite Awards.
  • The maximum age of the applicant should be between 17-18 years. If you have freshly passed out of school, then also you are eligible to apply.

There is no special format in which the applicant is demanded to send the write-ups. However, while presenting the write-ups applicants should clearly specify their name, age, school name, address and contact number.

National Scholarship Test (NST)

National Scholarship Test (NST) is the most successful scholarship test administered by the Shiksha Education Trust. This exam is conducted every year both in the online and offline mode to encourage meritorious students financially. Students could apply for the National Scholarship Test latest by 31st May every year.

Eligibility for NST: Students in class 5th to 12th are eligible for NST.

National Scholarship test gives students with a national and state-level scholarship. The top 3 national level scholars are awarded Rs.75,000 each and the state scholars are awarded Rs.28,000 each.

Listed below is the National Scholarship Test online and offline exam schedule

NST 2019 EventOnline Exam Schedule NST 2019Offline Exam Schedule NST 2019
NST Exam DateJune 2019July 2019
Admit Card Release DateMay 2019July 2019
Declaration of ResultJune 2019September 2019

PM Narendra Modi Scholarship for 12th Pass Students

Government Scholarship for 12th Passed Students 2019 is PM Narendra Modi Scholarship. PM Narendra Modi started a scholarship for 12th pass students who want admission in a variety of undergraduate and postgraduate programs. This scheme grants financial support to the wards of ex-servicemen. It awards a total of 5,500 scholarships for programs such as B.Tech/B.E., B.A, BBA, BCA, M.A, M.Com, M.Sc, Ph.D., pharmacy and medical courses.

Eligibility for PM Narendra Modi Scholarship

  • Applicants should have qualified class 12th with a minimum of 75% to apply for the scholarship.
  • Candidates should between the age group of 18-25 years.
  • The candidate whose annual family income is below Rs. 6 lakhs are eligible to apply.

The last date to apply for PM Scholarship is normally in the 2nd week of November. Applicants who are elected for the scholarship will be granted Rs. 2,000 per month (boys) and Rs. 2,250 (girls). One can apply through the Kendriya Sainik Board website.

Combined Counselling Board (CCB) Scholarship

CCB Scholarship grants financially challenged background students with a stage to persevere higher education. CCB is linked with many leading educational institutes over the country where the students can get scholarship chances.

Eligibility for CCB Scholarship

  • Candidates of both classes 10th and 12th can apply for this scholarship.
  • Candidates should have passed the latest exam with a minimum aggregate of 33% to 50%.

Steps to Apply for CCB Scholarship

  • While applying online, applicants will have to choose their native state and continue with the corresponding application.
  • Read all the guidelines carefully and start filling the application form and submit.
  • Take a print out of the application receipt and counseling letter.

Reward: Selected students will be granted a scholarship of Rs.60,000 – Rs.70,000 for higher education.

Indian Oil Academics Scholarship

Indian Oil Corporation Limited grants scholarships to exemplary students from all over the country every year, under the Indian Oil Scholarships Scheme. The election of the applicants is done based on the merit list. Indian Oil Academic Scholarships are also given to first-year students of engineering and MBBS courses.

300 scholarships are awarded to engineering students while the left 200 scholarships are offered to MBBS students. The portion of the scheme also gives special support to girl students who wish to persevere higher education along with physically challenged students and students from Jammu and Kashmir and other Northeast states.

Eligibility for Indian Oil Academics Scholarship

  • Candidates who have taken admission in class 11th or (10+1) or the first year of the current academic year in ITI (2 years program) in school/ institutions approved by the central/state government are eligible.
  • Candidates in the first year of full-time engineering degree courses and MBBS courses can also apply.
  • 11th class and those in the 1st year of 2 year ITI course are also eligible to apply.

FAQ’s on Scholarship Scheme for 12th Passed Students

Question 1.
Which are the Scholarship Opportunities available after passing class 12th exam?

Answer:
Some of the top 10 scholarships available for 12th passed students are:

  • College Admission Scholarship Application (CASA)
  • Schindler Igniting Minds Scholarships
  • INSPIRE Scholarship
  • AICTE Pragati Scholarship for Girls
  • Foundation For Excellence (FFE) Scholarship
  • Dr. APJ Abdul Kalam Ignite Awards
  • National Scholarship Test (NST)
  • PM Narendra Modi Scholarship for 12th Pass Students
  • Combined Counselling Board (CCB) Scholarship
  • Indian Oil Academics Scholarship

Question 2.
What are the eligibility requirements for PM Scholarship?

Answer: 

  • Applicants should have qualified class 12th with a minimum of 75% to apply for the scholarship.
  • Candidates should between the age group of 18-25 years.
  • The candidate whose annual family income is below Rs. 6 lakhs are eligible to apply.

Question 3.
What is the National Scholarship test?

Answer:
National Scholarship Test (NST) is the most successful scholarship test administered by the Shiksha Education Trust. This exam is conducted every year both in the online and offline mode to encourage meritorious students financially. Students could apply for the National Scholarship Test latest by 31st May every year.

Question 4.
What is the reward given for CCB Scholarship?

Answer:
Selected students will be granted a scholarship of Rs.60,000 – Rs.70,000 for higher education.

Scholarship for Students

The post Scholarship Scheme for 12th Passed Students | Get List of Scholarships for Class 12 Students appeared first on Learn CBSE.

Periodic Classification of Elements Class 10 Notes Science Chapter 5

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CBSE Class 10 Science Notes Chapter 5 Periodic Classification of Elements Pdf free download is part of Class 10 Science Notes for Quick Revision. Here we have given NCERT Class 10 Science Notes Chapter 5 Periodic Classification of Elements.

According to new CBSE Exam Pattern, MCQ Questions for Class 10 Science pdf Carries 20 Marks.

CBSE Class 10 Science Notes Chapter 5 Periodic Classification of Elements

“The periodic table is a tabular method of displaying the elements in such a way, that the elements having similar properties occur in the same vertical column or group”.

Earlier attempts of the classification of elements: Dobereiner’s Triads, Newland’s law of octaves.

Dobereiner’s Triads: This classification is based on the atomic mass. According to this, when elements are arranged in order of increasing atomic masses, groups of three elements, having similar properties are obtained. The atomic mass of middle element of the triad being nearly equal to the average of the atomic masses of the other two elements.
For Example Li (6.9), Na (23), K (39).

Limitation: It fails to arrange all the known elements in the form of triads, even having similar properties.

Newland’s Law of Octaves: According to this ‘when elements are placed in order of increasing atomic masses, the physical and chemical properties of every 8th element are a repetition of the properties of the first element.’

Form of Newland’s octaves is given in the following table:
Periodic Classification of Elements Class 10 Notes Science Chapter 5 1

Limitations

  • Law of octaves was applicable only upto calcium (only for lighter elements).
  • Newland adjusted two elements in the same slot (e.g. Co and Ni), having different properties. For example; Co and Ni with Fluorine, Chlorine, Bromine and Iodine.
  • According to Newland, only 56 elements existed in nature and no more elements would be discovered in future.

Present attempts for the classification of elements: Mendeleev’s Periodic Table, the Modern Periodic Table.

Mendeleev’s Periodic Table: Mendeleev’s periodic table is based on the physical and chemical properties of elements and their atomic masses.

Mendeleev’s Periodic Law: According to this “The physical and chemical properties of the elements are the periodic function of their atomic masses.”

Periodicity of Properties: The repetition of properties of elements after certain regular intervals is known as Periodicity of Properties.

Merits of Mendeleev’s Periodic Table

  • Mendeleev’s left vacant places in his table which provided an idea for the discovery of new elements. Example: Eka-boron, Eka-aluminium and Eka-silicon.
  • Mendeleev’s periodic table was predicted properties of several undiscovered elements on the basis of their position in Mendeleev’s periodic table.
  • It is useful in correcting the doubtful atomic masses of some elements.
  • Noble gases could accommodate in the Mendeleev’s periodic table without disturbing the periodic table after discovery.

Limitations of Mendeleev’s Periodic Table
(a) No fixed position for hydrogen: No correct position of the hydrogen atom was in Mendeleev’s periodic table.
Example: Position of hydrogen with alkali metals and halogens (17th group).

(b) No place for isotopes: Position of isotopes were not decided.
Example: Cl-35 and Cl-37.

(c) No regular trend in atomic mass: Position of some elements with lower atomic masses before with higher atomic mass.
Example: Ni-58.7 before Co-58.9.

Mendeleev’s original periodic table is reproduced in the table below
Periodic Classification of Elements Class 10 Notes Science Chapter 5 2

The Modern Periodic Table: In 1913, Henry Moseley showed that the atomic number of an element is a more fundamental property than its atomic mass.

Modern Period Law: The physical and chemical properties of elements are the periodic function of their atomic number.
Modern periodic table is based on atomic number of elements.
Atomic number (Z) is equal to the number of protons present in the nucleus of an atom of an element.
Modern periodic table contains 18 vertical column known as group and seven horizontal rows known as periods.
On moving from left to right in a period, the number of valence electrons increases from 1 to 8 in the elements present.
On moving from left to right in a period, number of shell remains same.
All the elements of a group of the periodic table have the same number of valence electrons.

Trends in Modern Periodic Table: Valency, Atomic size, metallic and non-metallic characters, and Electronegativity.
(i) Valency: The valency of an element is determined by the number of valence electrons present in the outermost shell of its atom (i.e. the combining capacity of an element is known as its valency).
In Period: On moving from left to right in a period, the valency first increases from 1 to 4 and then decreases to zero (0).
Periodic Classification of Elements Class 10 Notes Science Chapter 5 3

In Groups: On moving from top to bottom in a group, the valency remains same because the number of valence electrons remains the same.
Example: Valency of first group elements = 1 Valency of second group elements = 2.

(ii) Atomic size: Atomic size refers to radius of an atom. It is a distance between the centre of the nucleus and the outermost shell of an isolated atom.
In Period : On moving from left to right in a period, atomic size decreases because nuclear charge increases.
Example: Size of second period elements: Li > Be > B > C > N > O > F
Point to know: The atomic size of noble gases in corresponding period is largest
due to presence of fully filled electronic configuration (i.e. complete octet).
In Group: Atomic size increases down the group because new shells are being
added in spite of the increase in nuclear charge.
Example ; Atomic size of first group element : Li < Na < K < Rb < Cs < Fr
Atomic size of 17th group elements : F < Cl < Br < I

(iii) Metallic character: It is the tendency of an atom to lose electrons. In Period: Along the period from left to right, metallic characters decreases because a tendency to lose electron decreases due to the increase in nuclear charge. Example: Metallic character of second period elements: Li > Be > B > C >> N > O > F
In Group: Metallic character, when moving from top to bottom increases because the atomic size and tendency to lose electrons increases.
Example: First group element : Li < Na < K < Rb < Cs
Periodic Classification of Elements Class 10 Notes Science Chapter 5 4
17th group elements: F < Cl < Br < I

(iv) Non-metallic character: It is tendency of an atom to gain electrons.
In Period: Along the period from left to right, non-metallic character increases because tendency to gain electrons increases due to increase in nucleus charge. Example ; Non-metallic character of 2nd period elements : Li < Be < B < C < N < O < F In Group: On moving from top to bottom in a group, non-metallic character decreases because atomic size increases and tendency to gain electrons decreases. Ex. Non-metallic character of 17th period element: F > Cl > Br > I

(v) Chemical Reactivity
In metals: Chemical reactivity of metals increases down the group because tendency to lose electrons increases. Example ; Li < Na < K < Rb < Cs (1st group) In non-metals: Chemical reactivity of non-metals decreases down the group because tendency to gain electrons decreases. Example: F > Cl > Br > I (17th group)

(vi) Electronegativity: It is tendency of an element to attract the shared pair of electrons towards it in a covalently bonded molecule. It increases with increase of nuclear charge or decrease in atomic size.
Along the period electronegativity increases. Example ;Li < Be < B < C < N < O < F. Down the group electronegativity decreases. Example ; Li > Na > K > Rb > Cs
F > Cl > Br > I

(vii) Nature of Oxides: Metal oxides are basic in nature. Ex. Na2O, MgO etc.
Non-metal oxides are acidic in nature. Ex. Cl2O7, SO3, P2O5,

In the case of metal reactivity, it increases down the group because of the tendency to lose electrons increases.

In the case of non-metal reactivity, decreases down the group because of the tendency to gain electrons decreases.

Group: The vertical columns in Mendeleev’s, as well as in Modern Periodic Table, are called groups.

Period: The horizontal rows in the Modern Periodic Table and Mendeleev’s Periodic Table are called periods.

There are 18 groups and 7 (seven) periods in the Modern Periodic Table.

Atomic size: The atomic size may be visualised as the distance between the centre of the nucleus and the outermost shell of an isolated atom.

The trend of atomic size (radius) in moving down a group: Ongoing down in a group of the Periodic Table, the atomic size increases because a new shell of electrons is added to the atoms at every step. There is an increase in distance between the outermost shell electrons and the nucleus of the atom.

The trend of atomic size (radius) in moving from left to right in a period: On moving from left to right along a period, the size of atoms decreases because on moving from left to right, the atomic number of elements increases which means that the number of protons and electrons in the atoms increases. Due to the large positive charge on the nucleus, the electrons are pulled in more closely to the nucleus and the size of the atom decreases.

Characteristics of triads of J.W. Dobereiner.

  • Elements of a triad show similar chemical properties.
  • These elements of a triad show specific trends in their physical properties.
  • The atomic mass of the middle element was roughly the average of the atomic masses of the other two elements.

Example: Atomic mass of Na is 23 in the triad Li, Na and K. This atomic mass is the average of the atomic masses of Li and K which have atomic masses 7 and 39 respectively.

Triads as formed by Dobereiner.
1st Triad
Li – Lithium
Na – Sodium
K – Potassium

2nd Triad
Ca – Calcium
Sr – Strontium
Ba – Barium

3rd Triad
Cl – Chlorine
Br – Bromine
I – Iodine

Mendeleev’s Periodic Law: It states that “the properties of elements are the periodic functions of their atomic masses.” It means the properties of the elements depend on their atomic masses and the elements are given a position in the periodic table on the basis of their increasing atomic masses.

Merits of Mendeleev’s Periodic Table
(i) Mendeleev left a number of gaps in his table to accommodate the new elements which would be discovered later on. So Mendeleev boldly predicted the existence of some more elements. He even predicted the properties of some of these elements and named them as Eka-boron, Eka-aluminium and Eka-silicon respectively. Later on the elements were discovered, for example, gallium replaced Eka-aluminium and it showed properties similar to that of aluminium.

(ii) He gave the proper position to the noble gases which were discovered later on, without disturbing the existing order of elements. He placed them in a new group.

Limitations of Mendeleev’s classification:

  • The position of isotopes could not be explained because isotopes have the same chemical properties but different atomic masses. If the elements are arranged according to atomic masses, the isotopes should be placed in different groups of the Periodic Table.
  • The atomic masses do not increase in a regular manner in going from one element to the next.
  • He could not assign a correct position to hydrogen in his table because hydrogen has some properties similar to alkali metals and some properties similar to halogens.

Modem Periodic Law: This law was proposed by Henry Moseley, a scientist in 1913. According to this Law, “Properties of elements are the periodic function of their atomic number.” It means that the properties of elements depend on their atomic number and the elements are given positions in the periodic table on the basis of their increasing atomic number. As atomic number determines the distribution of electrons in the orbits, and electrons of the outermost orbit determine the properties of an element.

Groups and periods in the Modem (long form) Periodic Table: There are 18 groups (vertical columns) and 7 periods (horizontal lines) in the Modern (or long form) Periodic Table. The number of the period is equal to the number of shells in the atoms of the elements belonging to that period.

Trends in Mendeleev’s Periodic Table

  • The properties of elements are periodic functions of their atomic mass.
  • It has 8 groups.
  • No place could be assigned to isotopes of an element.
  • There were three gaps left by Mendeleev in his Periodic Table.
  • No fixed position was given to hydrogen in this Periodic Table.
  • No distinction was made between metals and non-metals.
  • Transition elements are placed together in Group VIII.
  • Inert gases were not known at the time of Mendeleev.

Trends in Modem Periodic Table
(i) Valency: Elements belonging to the same group have the same number of valence electrons and thus the same valency. Valency in a particular period from left to right first increases as positive valency and then decreases as negative valency.
Example: In elements of 2nd period:
Li has 1+ valency, then Be2+, B3+, C4+ covalency, N3- valency, then O2- and F(-) valency.

(ii) The atomic size or atomic radius increases: as we move down in a group and it decreases as we move from left to right in a period. Atomic size increases down a group due to the increase in the number of shells. Atomic size decreases along a period due to an increase in the nuclear charge which tends to pull the electrons closer to the nucleus and reduces the size of the atom.

(iii) Metallic and Non-Metallic properties: In the modern periodic table metals are on the left side and non-metals on the right side of the table. A zig-zag line of metalloids separates metals from non-metals.

  • Metallic characters decrease from left to right in a period and increase while going down in a group.
  • Non-metallic characters increase from left to right in a period due to increase in the electronegativity and these characters decrease from top to bottom in a group due to the decrease in the electronegativity of atoms while going down in a group.

1. Need for classification of elements:
Increase in the discovery of different elements made it difficult to organise all that was known about the elements. To study a large number of elements with ease, various attempts were made. The attempts resulted in the classification of elements into metals and non-metals.

2. Dobereiner’s triads:
Johann Wolfgang Dobereiner, a German chemist, classified the known elements in groups of three elements on the basis of similarities in their properties. These groups were called triads.
(i) Characteristics of Triads:

  • Properties of elements in each triad were similar.
  • Atomic mass of the middle element was roughly the average of the atomic masses of the other two elements.

(ii) Examples of Triads:
periodic-classification-clements-cbse-notes-class-10-science-1
(iii) Limitations: Dobereiner could identify only three triads. He was not able to prepare triads of all the known elements.

3. Newlands’ Law of Octaves:
John Newlands’, an English scientist, arranged the known elements in the order of increasing atomic masses and called it the ‘Law of Octaves’. It is known as ‘Newlands’ Law of Octaves’.
(i) Characteristics of Newlands’ Law of Octaves:

  • It contained the elements from hydrogen to thorium.
  • Properties of every eighth element were similar to that of the first element.

(ii) Table showing Newlands’ Octaves:
periodic-classification-clements-cbse-notes-class-10-science-2
(iii) Limitations of Newlands’ law of Octaves:

  • The law was applicable to elements up to calcium (Ca).
  • It contained only 56 elements.
  • In order to fit elements into the table, Newlands’ adjusted two elements like cobalt and nickel in die the same slot and also put some unlike elements under the same note.

4. Mendeleev’s Periodic Table: Dmitri Ivanovich – 5 ’ Mendeleev, a Russian demist, was the most important contributor to the early development of a periodic table of elements wherein the elements were arranged on the basis of their atomic mass and chemical properties.

  • Characteristics of Mendeleev’s Periodic Table:
    • Mendeleev arranged all the 63 known elements in increasing order of their atomic masses.
    • The table contained vertical columns called ‘groups’ and horizontal rows called ‘periods’.
    • The elements with similar physical and chemical properties came under the same groups.
  • Mendeleev’s Periodic Law: The properties of elements are the periodic function of their atomic masses.
  • Achievements of Mendeleev’s Periodic Table:
    • Through this table, it was very easy to study the physical and chemical properties of various elements.
    • Mendeleev adjusted few elements with a slightly greater atomic mass before the elements with slightly lower atomic mass, so that elements with similar properties could be grouped together. For example, aluminium appeared before silicon, cobalt appeared before nickel.
    • Mendeleev left some gaps in his periodic table.
      He predicted the existence of some elements that had not been discovered at that time. His predictions were quite true as elements like scandium, gallium and germanium were discovered later.
    • The gases like helium, neon and argon, which were discovered later, were placed in a new group without disturbing the existing order.
  • Limitations: 
    • No fixed positions were given to hydrogen in the Mendeleev’s periodic table.
    • Positions of Isotopes of all elements was not certain according to Mendeleev’s periodic table.
    • Atomic masses did not increase in a regular manner in going from one element to the next.

5. Modem Periodic Table: Henry Moseley, gave a new ! property of elements, ‘atomic number’ and this was I adopted as the basis of Modem Periodic Table.
(i) Modem Periodic Law: Properties of elements are a periodic function of i their atomic number.
(ii) The position of elements in Modem Periodic Table:

  • The modem periodic table consists of 18 groups and 7 periods.
  • Elements present in any one group have the same number of valence electrons. Also, the number of shells increases as we go down the group.
  • Elements present in any one period, contain the same number of shells. Also, with increase in atomic number by one unit on moving from left to right, the valence shell electrons increases by one unit.
  • Each period marks a new electronic shell getting filled.

(iii) Table showing Electronic Configuration of First 20 Elements:
periodic-classification-clements-cbse-notes-class-10-science-3
Trends in the Modern Periodic Table:

  • Valency: Valency of an element is determined by the number of valence electrons present in the outermost shell of its atom.
    • Valency of elements in a particular group is same.
    • Valency of elements in a period first increases from one to four and then decreases to zero.
  • Atomic Size: Atomic size refers to the radius of an atom.
    • In a period, atomic size and radii decreases from left to right.
    • In a group, atomic size and radii increases from top to bottom.

Metallic and Non-metallic Properties:

    • The tendency to lose electrons from the outermost shell of an atom, is called metallic character of an element.
    • The tendency to gain electrons from the outermost shell of an atom, is called non-metallic character of an element.
    • periodic-classification-clements-cbse-notes-class-10-science-4

 

 

 

 

 

 

 

We hope the given CBSE Class 10 Science Notes Chapter 5 Periodic Classification of Elements Pdf free download will help you. If you have any query regarding NCERT Class 10 Science Notes Chapter 5 Periodic Classification of Elements, drop a comment below and we will get back to you at the earliest.

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