Class 10,Mathematics, Coordinate Geometry (Distance Formula)

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. The coordinates of the centre of a circle passing through (1, 2), (3, – 4) and (5, – 6) is:

 (11, – 2)

 (-2, 11)

  (11, 2)

 (2, 11)

Question 1 of 20

2. 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

 9 or -3

 -9 or -3

 3 or -9

 3 or 9

Question 2 of 20

3. The horizontal and vertical lines drawn to determine the position of a point in a Cartesian plane are called

 Intersecting lines

 Transversals

 Perpendicular lines

 X-axis and Y-axis

Question 3 of 20

4. Let P(x, y) be equidistant from the points A (7, 1) and (3, 5).Find a relation between x and y.

  y– x = 4

 y– x = 2

 x – y = 2

 x – y = 4

Question 4 of 20

5. If the four points (0,-1), (6,7),(-2,3) and (8,3) are the vertices of a rectangle, then its area is

 40√5 sq. units

  12 sq. units

 10 sq. units

 13 sq. units

Question 5 of 20

6. The perimeter of a triangle with vertices (0, 4) (0, 0) and (3, 0) is:

 15

 12

 8

 10

Question 6 of 20

7. The ordinate of a point is twice its abscissa. If its distance from the point (4,3) is , then the coordinates of the point are

  (1,2) or (3,6)

 (1,2) or (3,5)

  (2,1) or (3,6)

 (2,1) or (6,3)

Question 7 of 20

8. The perimeter of the triangle formed by the points A(0,0), B(1,0) and C(0,1) is

 √2 + 1

 1 ± √2

 2 + √2

 3

Question 8 of 20

9. The value of k, if the point P(0,2) is equidistant from A(3,k) and B(k,5) is

  0

 1

 -3

 3

Question 9 of 20

10. If A and B are the points (-6, 7) and (-1, -5) respectively, then the distance 2AB is equal to

 26

 169

 13

 238

Question 10 of 20

11. 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

 x = 1, y = 7

  x = 2, y = 7

  x = 0, y = – √7

  x = 0, y = ± √7

Question 11 of 20

12. The point (-1,-5) lies in the Quadrant

 3^rd

 1^st

 2^nd

 4^th

Question 12 of 20

13. The distance between the points (3,4) and (8,-6) is

 2√5 units

 3√5 units

 √5 units

  5√5 units

Question 13 of 20

14. The point on y-axis that is equidistant from (2,3) and (-4,1) is

  (0,-1)

 (0,-2)

 (1,0)

  (1,2)

Question 14 of 20

15. The point on x-axis which is equidistant from (5,9) and (-4,6) is

 (3,0)

 (1,0)

  (2,0)

  (4,1)

Question 15 of 20

16. The distance of the point P(6,-6) from the origin is equal to

 3 √4 units

  8 units

 6 √2 units

 3 units

Question 16 of 20

17. The distance between the points P (-6,7) and Q (-1,-5) is

  15

 12

 13

 10

Question 17 of 20

18. The condition that the point (x,y) may lie on the line joining (3,4) and (-5,-6) is

 -5x+4y+1=0

 -5x-4y+1=0

 5x+4y+1=0

 5x-4y+1=0

Question 18 of 20

19. The points (3, 2), (0, 5), (-3, 2) and (0, -1) are the vertices of a quadrilateral. Which quadrilateral is it?

  Rectangle

  Square

 Parallelogram

  Rhombus

Question 19 of 20

20. The graph of the equation x = 3 is:

  a point

 straight line parallel to y axis

  straight line passing through the origin

 straight line parallel to x axis

Question 20 of 20

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