Below you will find MCQ Questions of Chapter 7 Coordinate Geometry Class 10 Maths that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 10 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 10 Maths Chapter 7 Coordinate Geometry with answers
1. The area of triangle whose vertices are (1,-1), (-4.6), and (-3, -5) is
(a) 21
(b) 32
(c) 24
(d) 25
► (c) 24
2. If the area of a quadrilateral ABCD is zero, then the four points A, B, C, D are
(a) Collinear
(b) Not collinear
(c) Nothing can be said
(d) None of these
► (a) Collinear
3. If (1,2), (4,y), (x,6), and (3,5) are the vertices of a parallelogram taken in order. Then (x,y) is
(a) (6, 2)
(b) (6, 3)
(c) (6, 4)
(d) (3, 4)
► (b) (6, 3)
4. The coordinates of a point A, where AB is the diameters of a circle whose centre (2,-3) and B is (1,4) is
(a) (3, -9)
(b) (2, 9)
(c) (3, -10)
(d) (4, 5)
► (c) (3, -10)
5. Let P(x, y) be equidistant from the points A (7, 1) and (3, 5).Find a relation between x and y.
(a) y – x = 4
(b) y – x = 2
(c) x – y = 2
(d) x – y = 4
► (c) x – y = 2
6. The coordinates of the point which divides the line segment joining points A(5,-2) and B(9,6) in the ratio 3:1 are
(a) (-4,3)
(b) (5,-6)
(c) (8,4)
(d) (0,7)
► (c) (8,4)
7. The co-ordinates of the points which divides the join of (– 2, – 2) and (– 5, 7) in the ratio 2 : 1 is :
(a) (4, – 4)
(b) (– 3, 1)
(c) (– 4, 4)
(d) (1, – 3)
► (c) (– 4, 4)
8. The distance between the points P (-6,7) and Q (-1,-5) is
(a) 15
(b) 12
(c) 13
(d) 10
► (c) 13
9. The distance of the point P (2, 3) from the x-axis is
(a) 2
(b) 3
(c) 1
(d) 5
► (b) 3
10. The coordinates of the centre of a circle are (– 6, 1.5). If the ends of a diameter are (– 3, y) and (x, – 2) then:
(a) x = – 9, y = 5
(b) x = 5, y = – 9
(c) x = 9, y = 5
(d) None of these
► (a) x = – 9, y = 5
11. The values of ‘y’ for which the distance between the points (2, – 3) and (10, y) is 10 units is
(a) – 3, – 9
(b) 3, 9
(c) – 3, 9
(d) 3, – 9
► (d) 3, – 9
12. The graph of the equation x = 3 is:
(a) a point
(b) straight line parallel to y axis
(c) straight line passing through the origin
(d) straight line parallel to x axis
► (b) straight line parallel to y axis
13. The point on x-axis which is equidistant from (5,9) and (-4,6) is
(a) (3,0)
(b) (1,0)
(c) (2,0)
(d) (4,1)
► (a) (3,0)
14. One end of a line of length 10 units is at the point (-3, 2). If the ordinate of the other end be 10, then the abscissa will be
(a) 9 or -3
(b) -9 or -3
(c) 3 or -9
(d) 3 or 9
► (c) 3 or -9
15. The length of the median through A of ΔABC with vertices A(7, – 3), B(5, 3) and C(3, – 1) is
(a) 3 units
(b) 5 units
(c) 25 units
(d) 7 units
► (b) 5 units
16. The perimeter of a triangle with vertices (0, 4) (0, 0) and (3, 0) is:
(a) 15
(b) 12
(c) 8
(d) 10
► (b) 12
17. The line segment joining (2, – 3) and (5, 6) is divided by x-axis in the ratio:
(a) 2 : 1
(b) 3 : 1
(c) 1 : 2
(d) 1 : 3
► (a) 2 : 1
18. The distance between A (1, 3) and B (x, 7) is 5. The value of x > 0 is :
(a) 4
(b) 2
(c) 1
(d) 3
► (a) 4
19. Three consecutive vertices of a parallelogram are (1, –2), (3, 6) and (5, 10). The coordinates of the fourth vertex are :
(a) (–3, 2)
(b) (2, – 3)
(c) (3, 2)
(d) (–2, –3)
► (c) (3, 2)
20. If the four points (0,-1), (6,7),(-2,3) and (8,3) are the vertices of a rectangle, then its area is
(a) 40 sq. units
(b) 12 sq. units
(c) 10 sq. units
(d) 13 sq. units
► (a) 40 sq. units
21. The perimeter of the triangle formed by the points A(0,0), B(1,0) and C(0,1) is
(a) √2 + 1
(b) 1 ± √2
(c) 2 + √2
(d) 3
► (c) 2 + √2
22. The value of k, if the point P(0,2) is equidistant from A(3,k) and B(k,5) is
(a) 0
(b) 1
(c) -3
(d) 3
► (b) 1
Hope the given MCQ Questions will help you in cracking exams with good marks. These Coordinate Geometry MCQ Questions will help you in practising more and more questions in less time.