If you’re looking for a way to enhance your Class 10 Maths, then look no further than the NCERT MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry with Answers. The MCQ Questions for Class 10 Maths with Answers are aligned to all topics covered so it will be helpful when preparing for your exams, no matter what subject you’re studying! Don’t forget about scoring maximum points during exam preparation by using these free Class 10 Maths Chapter 7 Coordinate Geometry Objective Questions.
Coordinate Geometry Class 10 MCQs Questions with Answers
What are you waiting for? Get all the answers to Class 10 Maths Chapter 7 MCQs! It’s time that students power up and start practicing these MCQ Questions of Coordinate Geometry Class 10 with answers. The best way of doing so would be solving them yourself in order not only to know which answer is correct but also to understand why each solution works as well.
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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