Important Questions For Class 10 Maths Coordinate Geometry

Important Questions for Class 10 Maths Coordinate Geometry

1. If A (5,-3), B (11,-5) and C (12, k) are three vertices of a right angled triangle at C, then the values of k are

a) -2,4 b) 2,-4 c) -2,-4 d) 2,4

2. The coordinates of the point where line x/a +y/b =7 intersects y axis are

a) (a,0) b) (0,b) c) (0, 7b) d) (2a,0)

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

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

4. The distance of point P(3,-2) from y-axis is

a) 3 units b) 2units d) -2 units d) 1 unit

SUBJECTIVE TYPE QUESTIONS

If A( -2, 1),B (a,0),C (4,b) and D (1,2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence , find the lengths of its sides.
If P(2,-1) , Q(3,4) ,R(-2,3) and S(-3,-2) be four points in a plane. Show that PQRS is a rhombus but not square. Find the area of the rhombus.
Points A (-1,y) and B(5,7) lie on a circle O (2,-3y). Find the values of y. Hence, find radius of the circle.
Find a point on y-axis which is equidistant from the points (5,-2) and (-3,2)

5. If A(-5,1), B(-3,-2) and C(-1,8) are the vertices of triangle ABC, find the length of median through A.

6.Find the ratio in which the point (2,y) divides the line segment joining the points A(-2,-2) and B(3,7) . Also find the value of y.

7.Find the coordinates of the point of trisection of the line segment joining the points A(2,-2) and B(-7,4).

8. Find the ratio in which y-axis divides the line segment joining the points (5,-6) and (-1,-4)

9.Find the value of x for which the distance between the points P(2,-3) and Q(x,5) is 10 units.

10. A line is drawn through a point P(3,2) parallel to x-axis. What is the distance of the line from x-axis ?

11. Find the ratio in which y axis divides the line segment joining the points (-2,-3) and (3,7). Also find the coordinates of the point of division.

12. Three consecutive vertices of a parallelogram are (-2,-1), (1,0) and (4,3). Find the coordinates of the fourth vertex.

Ncert Solutions Class 10 Maths Exercise 1.2

exercise 1.2 Class 10 Maths | real numbers class 10

Ncert Solutions Class 10 Maths Exercise 2.2

exercise 2.2 class 10 maths | Polynomials class 10 Maths

Important Questions for Class 10 Maths Coordinate Geometry