Free PDF Download of CBSE Class 10 Maths Coordinate Geometry Multiple Choice Questions with Answers. Maths Multiple Choice Questions with Answers for Class 10 are Prepared Based on Latest Exam Pattern. Students can solve mcq questions for class 10 maths Coordinate Geometry to know their preparation level.
Class 10 Maths MCQ Chapter 7 Coordinate Geometry
1. The distance of the point P(2, 3) from the x-axis is
(a) 2
(b) 3
(c) 1
(d) 5
Answer/ Explanation
Answer: b
Explaination: Reason: The distance from x-axis is equal to its ordinate i.e., 3
2. The distance between the point P(1, 4) and Q(4, 0) is
(a) 4
(b) 5
(c) 6
(d) 3√3
Answer/ Explanation
Answer: b
Explaination: Reason: The required distance = Image may be NSFW.
Clik here to view.
3. The points (-5, 1), (1, p) and (4, -2) are collinear if
the value of p is
(a) 3
(b) 2
(c) 1
(d) -1
Answer/ Explanation
Answer: d
Explaination: Reason: The points are collinear if area of Δ = 0
= Image may be NSFW.
Clik here to view.
[-5(p + 2) +l(-2 -1) + 4(1 – p)] – 0
⇒ -5 p -10-3 + 4-4p = 0
⇒ -9p = +9
∴ p = -1
4. The area of the triangle ABC with the vertices A(-5, 7), B(-4, -5) and C(4, 5) is
(a) 63
(b) 35
(c) 53
(d) 36
Answer/ Explanation
Answer: c
Explaination: Reason: Area of ΔABC = Image may be NSFW.
Clik here to view. [x1(y2 – y3) + x2(y3 – y1) + x3(y1 – y2)]
= Image may be NSFW.
Clik here to view.[-5(-5 – 5) -4(5 – 7) + 4(7 – (-5))] = Image may be NSFW.
Clik here to view.[-5(-10) -4(-2) + 4(12)]
= Image may be NSFW.
Clik here to view.[50 + 8 + 48] = Image may be NSFW.
Clik here to view. × 106 = 53 sq. units
5. The distance of the point (α, β) from the origin is
(a) α + β
(b) α² + β²
(c) |α| + |β|
(d) Image may be NSFW.
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Answer/ Explanation
Answer: d
Explaination: Reason: Distance of (α, β) from origin (0, 0) = Image may be NSFW.
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6. The area of the triangle whose vertices are A(1, 2), B(-2, 3) and C(-3, -4) is
(a) 11
(b) 22
(c) 33
(d) 21
Answer/ Explanation
Answer: a
Explaination: Reason: Required area= Image may be NSFW.
Clik here to view.[1(3 + 4) -2(-4 – 2) -3(2 – 3)]
= Image may be NSFW.
Clik here to view.[7 + 12 + 3]
= Image may be NSFW.
Clik here to view. × 22 = 11
7. The line segment joining the points (3, -1) and (-6, 5) is trisected. The coordinates of point of trisection are
(a) (3, 3)
(b) (- 3, 3)
(c) (3, – 3)
(d) (-3,-3)
Answer/ Explanation
Answer: b
Explaination: Reason: Since the line segment AB is trisected
Image may be NSFW.
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8. The line 3x + y – 9 = 0 divides the line joining the points (1, 3) and (2, 7) internally in the ratio
(a) 3 : 4
(b) 3 : 2
(c) 2 : 3
(d) 4 : 3
Answer/ Explanation
Answer: a
Explaination: Reason: Let the line 3x + y – 9 = 0 divide the line segment joining A(l, 3) ad B(2, 7) in the ratio K : 1 at point C.
Image may be NSFW.
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9. The distance between A (a + b, a – b) and B(a – b, -a – b) is
Answer/ Explanation
Answer: c
Explaination:
Image may be NSFW.
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10. If (a/3, 4) is the mid-point of the segment joining the points P(-6, 5) and R(-2, 3), then the value of ‘a’ is
(a) 12
(b) -6
(c) -12
(d) -4
Answer/ Explanation
Answer: c
Explaination:
Image may be NSFW.
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11. If the distance between the points (x, -1) and (3, 2) is 5, then the value of x is
(a) -7 or -1
(b) -7 or 1
(c) 7 or 1
(d) 7 or -1
Answer/ Explanation
Answer: d
Explaination: Reason: We have Image may be NSFW.
Clik here to view.
⇒ (x – 3)² + 9 = 25
⇒ x² – 6x + 9 + 9 = 25
⇒ x² -6x – 7 = 0
⇒ (x – 7)(x + 1) = 0
⇒ x = 7 or x = -1
12. The points (1,1), (-2, 7) and (3, -3) are
(a) vertices of an equilateral triangle
(b) collinear
(c) vertices of an isosceles triangle
(d) none of these
Answer/ Explanation
Answer: b
Explaination: Reason: Let A(1, 1), B(-2, 7) and C(3, 3) are the given points, Then, we have
Image may be NSFW.
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13. The coordinates of the centroid of a triangle whose vertices are (0, 6), (8,12) and (8, 0) is
(a) (4, 6)
(b) (16, 6)
(c) (8, 6)
(d) (16/3, 6)
Answer/ Explanation
Answer: d
Explaination: Reason: The co-ordinates of the centroid of the triangle is
Image may be NSFW.
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14. Two vertices of a triangle are (3, – 5) and (- 7,4). If its centroid is (2, -1), then the third vertex is
(a) (10, 2)
(b) (-10,2)
(c) (10,-2)
(d) (-10,-2)
Answer/ Explanation
Answer: c
Explaination: Reason: Let the coordinates of the third vertex be (x, y)
Image may be NSFW.
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15. The area of the triangle formed by the points A(-1.5, 3), B(6, -2) and C(-3, 4) is
(a) 0
(b) 1
(c) 2
(d) 3/2
Answer/ Explanation
Answer: a
Explaination: Reason: Area of ΔABC = Image may be NSFW.
Clik here to view.
Clik here to view.
16. If the points P(1, 2), B(0, 0) and C(a, b) are collinear, then
(a) 2a = b
(b) a = -b
(c) a = 2b
(d) a = b
Answer/ Explanation
Answer: a
Explaination: Reason: Area of ΔPBC = 0
⇒ Image may be NSFW.
Clik here to view.
⇒ Image may be NSFW.
Clik here to view.
⇒ -b + 2a = 0
∴ 2a = b
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