Q10 of 157 Page 757

Find the distance between the points .

The distance between the points and is given by- [using distance formula, the distance between points (x₁,y₁) and (x₂,y₂) is equal to units.]

= 2 units

If the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ratio 2 : 3 then find the value of k.

Find the point on x-axis which is equidistant from points A(-1, 0) and B(5, 0).

Find the value of a, so that the point (3, a) lies on the line represented by 2x - 3y = 5.

If the points A(4, 3) and B(x, 5) lie on the circle with centre 0(2, 3), find the value of x.