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

Students can access the NCERT MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 10 Maths with Answers during preparation and score maximum marks in the exam. Students can download the Coordinate Geometry Class 10 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 10 Maths Chapter 7 Coordinate Geometry Objective Questions.

## Coordinate Geometry Class 10 MCQs Questions 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

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: (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

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

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

Midpoint Calculator to calculate the midpoint between two points. Learn how to find the Midpoint of two points manually with step by step explanation provided.

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

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

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

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)

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)

Question 11.
The distance of the point P (2, 3) from the x-axis is
(a) 2
(b) 3
(c) 1
(d) 5

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)

Question 13.
The distance between the point P(1, 4) and Q(4, 0) is
(a) 4
(b) 5
(c) 6
(d) 3√3

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

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

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

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

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

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

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: (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

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: (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

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

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

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