CBSE Class 10 Mathematics Coordinate Geometry Worksheet Set G

CBSE Class 10 Mathematics Worksheet - Coordinate Geometry (7)

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CO-ORDINATE GEOMETRY

MCQ

1. Distance between the points (5, −3) and (8, 1) is

(a) 5 units (b) 6 units (c) 25 units (d) none of these

2. If the distance between (4, 0) and (0, x) is 5 units, then x is

(a) 2 (b) 3 (c) 4 (d) 5

3. Three points are collinear if they lie on a

(a) line (b) plane (c) both (a) & (b) (d) none of these

4. If the points (x, y), (2, 3) & (−3, 4) are collinear then

(a) x + y = 17 (b) x − y = 17 (c) x − 5y = 17 (d) x + 5y = 17

5. P is a point on x-axis at a distance 3 units from y-axis to its right the coordinates of P are

(a) (3, 0) (b) (0, 3) (c) (3, 3) (d) (−3, 3)

6. The distance of point A(4, −3) from the origin is

(a) 1 unit (b) 7 units (c) 5 units (d) 3 units

7. The co-ordinates of 2 points are (6, 0) & (0, 8). The co-ordinates of the midpoints are

(a) (3, 4) (b) (6, 8) (c) (0, 0) (d) (4, 3)

8. What point on the x-axis is equilistant from the point A(7, 6) & B(−3, 4) ?

(a) (0, 4) (b) (−4, 0) (c) (3, 0) (d) (0, 3)

9. X-axis divides the join of A(2, −3) & B(5, 6) in ratio

(a) 1 : 2 (b) 2 : 1 (c) 3 : 2 (d) 2 : 3

10. If the distance of P(x, y) from A(5, 1) and B(−1, 5) is same the which of the following is true

(a) 3x = 4y (b) x = 2y (c) 3x = 2y (d) x = 3y

11. If P(−1, 1) is the middle point of the line segment joining Q(−3, b) and R(1, b+4), then b is

(a) 1 (b) −1 (c) 2 (d) 0

12. The 3rd vertex of an equilateral triangle whose other & vertices are (1, 1) and (−1, −1) is

(a) ()3,3− (b) both a & b (c) ()3,3− (d) none of these

13. The centroid of the triangle having vertices (7, 5), (5, 7) and (−3, 3) is

(a) (3, −5) (b) (−3, 5) (c) (−3, −5) (d) (3, 5)

14. 2 vertices of ΔABC are A(−1, 4) & B(5, 2) and its centroid is G(0, −3). The coordinate of C are

(a) (4, 3) (b) (4, 15) (c) (−4, −15) (d) (−15, −4)

15. If the vertices of a triangle be (x1, y1), (x2, y2) and (x3, y3) then the coordinates of its centroid are

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