Coordinate Geometry class 10th

Very important question for CBSE board class 10th

1. Find the value of k for which the distance between the points A(k, -5) and B(2,7) is 13 units.

2. If the points A(4,3) and B(x,5) are on the circle P(2,3), then find the value of x² + 5.

3. If the points A(1,2), B(0,0), C(a,b) are collinear, then show that 2a = b

4. Find the coordinates of the circumcenter of the triangle whose vertices are (8,6), (8,-2) and (2,-2). Also find circumradius.

5. Find the ratio in which the point P(3/4, 5/12), divides the line segment joining the points A(1/2, 3/2) and B(2,-5)

6. Find the relation between a and b if the points (a,b), (1, 2) and (7, 0) are collinear.

7. If the vertices (3, 0), (4, 5), (-1, 4) and (-2, -1) are taken in order then find the area of Rhombus.

8. If B(0,1) is equidistant from A(5,-3), and C(x,6). Find the value of x. also find the distance BC and AC