MCQ Questions for Class 10 Maths: Ch 7 Coordinate Geometry
1. The distance between the point P(1, 4) and Q(4, 0) is
(a) 4
(b) 5
(c) 6
(d) 3√3
â–º (b) 5
(a) 4
(b) 5
(c) 6
(d) 3√3
â–º (b) 5
2. 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
â–º (a) 11
3. 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)
â–º (c) (11, 2)
4. The distance of the point (– 3, 4) from the origin is
(a) 25 units
(b) 1 unit
(c) 7 units
(d) 5 units
â–º (d) 5 units
5. The distance of the point P (2, 3) from the x-axis is
(a) 2
(b) 3
(c) 1
(d) 5
â–º (b) 3
6. 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
► (b) 2√2a units
7. 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)
â–º (c) (-4, 2)
8. 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
â–º (d) 1
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)
â–º (a) (1,2) or (3,6)
10. 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
â–º (a) ay + bx = ab
11. 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
â–º (a) 3 : 4
12. 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
â–º (c) -12
13. 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
â–º (b) collinear
14. 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
â–º (d) a = 9, b = 1
15. 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
â–º (d) 2,2
16. The perimeter of a triangle with vertices (0, 4) (0, 0) and (3, 0) is:
(a) 15
(b) 12
(c) 8
(d) 10
â–º (b) 12
17. 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
â–º (d) X-axis and Y-axis
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
â–º (a) 26
19. he 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
â–º (c) 2:1
20. The distance between the points (– 1, – 5) and (– 6, 7) is
(a) 144 units
(b) 13 units
(c) 12 units
(d) 169 units
â–º (b) 13 units
21. 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
► (d) 5√5 units
22. 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
â–º (a) 1:2
23. 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
► (d) x = 0, y = ± √7
24. 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
► (c) 6 √2 units
25. 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
â–º (a) 2:3
26. 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
â–º (b) Square