# MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry with Answers

Students are advised to solve the Coordinate Geometry Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Coordinate Geometry Class 10 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Coordinate Geometry Class 10 with answers provided with detailed solutions by looking below.

Question 1.

The ratio in which (4,5) divides the line segment joining the points (2,3) and (7,8) is

(a) 2:3

(b) -3:2

(c) 3:2

(d) -2:3

## Answer

Answer: (a) 2:3

Question 2.

The values of x and y, if the distance of the point (x,y) from (-3,0) as well as from (3,0) is 4 are

(a) x = 1, y = 7

(b) x = 2, y = 7

(c) x = 0, y = – √7

(d) x = 0, y = ± √7

## Answer

Answer: (d) x = 0, y = ± √7

Question 3.

The distance between the points (3,4) and (8,-6) is

(a) 2√5 units

(b) 3√5 units

(c) √5 units

(d) 5√5 units

## Answer

Answer: (d) 5√5 units

Question 4.

The ratio in which the x-axis divides the segment joining A(3,6) and B(12,-3) is

(a) 1:2

(b) -2:1

(c) 2:1

(d) -1:-1

## Answer

Answer: (c) 2:1

Question 5.

The horizontal and vertical lines drawn to determine the position of a point in a Cartesian plane are called

(a) Intersecting lines

(b) Transversals

(c) Perpendicular lines

(d) X-axis and Y-axis

## Answer

Answer: (d) X-axis and Y-axis

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Question 6.

The mid point of the line segment joining A(2a,4) and B(-2,3b) is M (1,2a + 1). The values of a and b are

(a) 2,3

(b) 1,1

(c) -2,-2

(d) 2,2

## Answer

Answer: (d) 2,2

Question 7.

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

Answer: (b) collinear

Question 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

Answer: (a) 3 : 4

Question 9.

The ordinate of a point is twice its abscissa. If its distance from the point (4,3) is √10, then the coordinates of the point are

(a) (1,2) or (3,6)

(b) (1,2) or (3,5)

(c) (2,1) or (3,6)

(d) (2,1) or (6,3)

## Answer

Answer: (a) (1,2) or (3,6)

Question 10.

The mid-point of the line segment joining the points A (-2, 8) and B (-6, -4) is

(a) (-4, -6)

(b) (2, 6)

(c) (-4, 2)

(d) (4, 2)

## Answer

Answer: (c) (-4, 2)

Question 11.

The distance of the point P (2, 3) from the x-axis is

(a) 2

(b) 3

(c) 1

(d) 5

## Answer

Answer: (b) 3

Question 12.

The coordinates of the centre of a circle passing through (1, 2), (3, – 4) and (5, – 6) is:

(a) (11, – 2)

(b) (-2, 11)

(c) (11, 2)

(d) (2, 11)

## Answer

Answer: (c) (11, 2)

Question 13.

The distance between the point P(1, 4) and Q(4, 0) is

(a) 4

(b) 5

(c) 6

(d) 3√3

## Answer

Answer: (b) 5

Question 14.

The points (3, 2), (0, 5), (-3, 2) and (0, -1) are the vertices of a quadrilateral. Which quadrilateral is it?

(a) Rectangle

(b) Square

(c) Parallelogram

(d) Rhombus

## Answer

Answer: (b) Square

Question 15.

The distance of the point P(6,-6) from the origin is equal to

(a) 3 √4 units

(b) 8 units

(c) 6 √2 units

(d) 3 units

## Answer

Answer: (c) 6 √2 units

Question 16.

Origin divides the join of points (1,1) and (2,2) externally in the ratio

(a) 1:2

(b) 1:-2

(c) -1:-2

(d) -1:2

## Answer

Answer: (a) 1:2

Question 17.

The distance between the points (– 1, – 5) and (– 6, 7) is

(a) 144 units

(b) 13 units

(c) 12 units

(d) 169 units

## Answer

Answer: (b) 13 units

Question 18.

If A and B are the points (-6, 7) and (-1, -5) respectively, then the distance 2AB is equal to

(a) 26

(b) 169

(c) 13

(d) 238

## Answer

Answer: (a) 26

Question 19.

The perimeter of a triangle with vertices (0, 4) (0, 0) and (3, 0) is:

(a) 15

(b) 12

(c) 8

(d) 10

## Answer

Answer: (b) 12

Question 20.

If (3,0), (2,a), and (b,6) are the vertices of ABC whose centroid is (2,5), then the values of a and b are

(a) a = 3, b = -9

(b) a = 0, b = 2

(c) a = 1, b = 9

(d) a = 9, b = 1

## Answer

Answer: (d) a = 9, b = 1

Question 21.

If (\(\frac { a }{ 3 }\), 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

Answer: (c) -12

Question 22.

If (a, 0) , (0, b) and (x, y) are collinear, then

(a) ay + bx = ab

(b) ax + by = 1

(c) ax – by = ab

(d) ay – bx = 1

## Answer

Answer: (a) ay + bx = ab

Question 23.

The area of the triangle formed by joining the mid-points of the sides of the triangle, whose vertices are (0, -1), (2, 1) and (0, 3) is

(a) 4

(b) 2

(c) 3

(d) 1

## Answer

Answer: (d) 1

Question 24.

The distance between the points (a, a) and (−√3a,√3a) is

(a) 3√2a units

(b) 2√2a units

(c) 2√2 units

(d) 2 units

## Answer

Answer: (b) 2√2a units

Question 25.

The distance of the point (– 3, 4) from the origin is

(a) 25 units

(b) 1 unit

(c) 7 units

(d) 5 units

## Answer

Answer: (d) 5 units

Question 26.

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

Answer: (a) 11

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