Free PDF Download of CBSE Maths Multiple Choice Questions for Class 12 with Answers Chapter 4 Determinants. Maths MCQs for Class 12 Chapter Wise with Answers PDF Download was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 12 Maths Determinants MCQs Pdf with Answers to know their preparation level.
Determinants Class 12 Maths MCQs Pdf
1.
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Answer/Explanation
Answer: d
Explaination:
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2.
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Answer/Explanation
Answer: a
Explaination: (a), Δ = 6(-1)- 1(1) = -7.
3.
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Answer/Explanation
Answer: d
Explaination:
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4. Let A be a square matrix of order 2 × 2, then |KA| is equal to
(a) K|A|
(b) K²|A|
(c) K3|A|
(d) 2K|A|
Answer/Explanation
Answer: b
Explaination:
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5.
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Answer/Explanation
Answer: a
Explaination:
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6. Let x, yeR, then the determinant
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Answer/Explanation
Answer: a
Explaination:
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7.
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Answer/Explanation
Answer: d
Explaination: (d), as value of determinant is sum of the product of elements of any row and column and then- respective cofactor.
8. A and B are invertible matrices of the same order such that |(AB)-1| = 8, If |A| = 2, then |B| is
(a) 16
(b) 4
(c) 6
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Answer/Explanation
Answer: d
Explaination:
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9. Determinant is a number associated to a matrix, state true or false.
Answer/Explanation
Answer:
Explaination: False, as determinant is a number associated to a square matrix.
10.
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Answer/Explanation
Answer:
Explaination: (a + ib) (a – ib) – (c + id) (c – id) = a² + b² – c² – d².
11.
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Answer/Explanation
Answer:
Explaination:
sin 30° cos 60° + cos 30° sin 60°
= sin(30° + 60°) = sin 90° = 1.
12.
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Answer/Explanation
Answer:
Explaination:
18x + 45 – 15x -6 = 0
⇒ 3x = -39
⇒ x = -13.
13. Evaluate the determinant
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Answer/Explanation
Answer:
Explaination:
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14.
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Answer/Explanation
Answer:
Explaination:
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15. Value of determinant
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is 0, state true or false.
Answer/Explanation
Answer:
Explaination: True, as on performing C3 → C3 + C2 we notice elements of C1 and C3 are proportional.
16. If A is a matrix of order 3 × 3, then |KA| = _______ .
Answer/Explanation
Answer:
Explaination:
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17. The determinant
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Answer/Explanation
Answer:
Explaination:
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18. Evaluate the determinant
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Answer/Explanation
Answer:
Explaination:
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19. What is the value of the following determinant?
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Answer/Explanation
Answer:
Explaination:
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20. If for any 2 × 2 square matrix A, A(adj A)
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Answer/Explanation
Answer:
Explaination:
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21. If area of a triangle with vertices (3, 2), (-1,4) and (6, k) is 7 sq units, then possible values of k are ______ .
Answer/Explanation
Answer:
Explaination:
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22. The points (a + 5, a – 4), (a – 2, a + 3) and (a, a) are non-collinear for any value of a. State true or false.
Answer/Explanation
Answer:
Explaination:
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23. Find the area of the triangle with vertices (-1, 2), (4, 0) and (3, 9).
Answer/Explanation
Answer:
Explaination:
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24. Find the value of x, such that the points (0, 2), (1, x) and (3, 1) are collinear.
Answer/Explanation
Answer:
Explaination:
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25. Show that points A(a, b + c), B(b, c + a) and C(c, a + b) are collinear. [NCERT]
Answer/Explanation
Answer:
Explaination:
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26. Find the cofactor of a12 of the determinant
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Answer/Explanation
Answer:
Explaination:
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27.
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cofactor of the element a21 [Foreign 2015]
Answer/Explanation
Answer:
Explaination: Cofactor of a2l = (-1)3 (18 – 21) = 3
28. In the determinant
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find
(i) minor of element 3
(ii) cofactor of element 5.
Answer/Explanation
Answer:
Explaination:
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29. If A and B are invertible matrices of the same order (AB)-1 is _____ .
Answer/Explanation
Answer:
Explaination:
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30.
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Answer/Explanation
Answer:
Explaination:
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31. A is invertible matrix of order 3 × 3 and |A| = 9, then value of |A-1|is
Answer/Explanation
Answer:
Explaination:
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32. If the value of a third order determinant is 7, then the value of a determinant formed by replacing each element by its cofactor will be 49. State true or false.
Answer/Explanation
Answer:
Explaination: True, as |adj.A| = |A|<sup>n-1</sup>, A is matrix of order 3 × n
33. Inverse of matrix
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exists, state true or false.
Answer/Explanation
Answer:
Explaination:
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34. For what value of k, the matrix Image may be NSFW.
Clik here to view.![\left[\begin{array}{ll}{k} & {2} \\ {3} & {4}\end{array}\right]](http://s0.wp.com/latex.php?latex=%5Cleft%5B%5Cbegin%7Barray%7D%7Bll%7D%7Bk%7D+%26+%7B2%7D+%5C%5C+%7B3%7D+%26+%7B4%7D%5Cend%7Barray%7D%5Cright%5D&bg=ffffff&fg=000&s=0 "\left[\begin{array}{ll}{k} & {2} \\ {3} & {4}\end{array}\right]")
Answer/Explanation
Answer:
Explaination:
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35. Write A-1 for A = Image may be NSFW.
Clik here to view.![\left[\begin{array}{ll}{2} & {5} \\ {1} & {3}\end{array}\right]](http://s0.wp.com/latex.php?latex=%5Cleft%5B%5Cbegin%7Barray%7D%7Bll%7D%7B2%7D+%26+%7B5%7D+%5C%5C+%7B1%7D+%26+%7B3%7D%5Cend%7Barray%7D%5Cright%5D&bg=ffffff&fg=000&s=0 "\left[\begin{array}{ll}{2} & {5} \\ {1} & {3}\end{array}\right]")
Answer/Explanation
Answer:
Explaination:
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36. Given a square matrix A of order 3 × 3, such that |A| = 12, find the value of |A. adj A|. [HOTS]
Answer/Explanation
Answer:
Explaination:
|A adj A| = |A|3 as matrix A is of order 3 × 3.
∴ |A adj A| = |A|3 = (12)3 = 1728
37. If A is a 3 × 3 invertible matrix, then what will be the value of k if det(A-1) = (det A)k
Answer/Explanation
Answer:
Explaination:
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38.
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Answer/Explanation
Answer:
Explaination:
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39. If for any 2 × 2 square matrix A, A(adj A) = Image may be NSFW.
Clik here to view.![\left[\begin{array}{ll}{8} & {0} \\ {0} & {8}\end{array}\right]](http://s0.wp.com/latex.php?latex=%5Cleft%5B%5Cbegin%7Barray%7D%7Bll%7D%7B8%7D+%26+%7B0%7D+%5C%5C+%7B0%7D+%26+%7B8%7D%5Cend%7Barray%7D%5Cright%5D&bg=ffffff&fg=000&s=0 "\left[\begin{array}{ll}{8} & {0} \\ {0} & {8}\end{array}\right]")
Answer/Explanation
Answer:
Explaination:
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40.
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Answer/Explanation
Answer:
Explaination:
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