Class 10,Mathematics, Coordinate Geometry (Distance Formula)

MCQ’s For All Chapters – Maths Class 10th

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)

Your comments:

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

Your comments:

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

Your comments:

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

Your comments:

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

Your comments:

Question 5 of 20

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

15

12

8

10

Your comments:

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)

Your comments:

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

Your comments:

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

Your comments:

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

Your comments:

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

Your comments:

Question 11 of 20

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

3^rd

1^st

2^nd

4^th

Your comments:

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

Your comments:

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)

Your comments:

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)

Your comments:

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

Your comments:

Question 16 of 20

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

15

12

13

10

Your comments:

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

Your comments:

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

Your comments:

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

Your comments:

Question 20 of 20

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