Question

Find the points on the x-axis which are at a distance of 2root 5 form the point (7,-4) . how many such points are there?

Answer 1

Let the required point on x-axis be (x, 0).

Using distance formula, we have:

(x - 5)2 + (0 + 3)2 = (5)2

(x - 5)2 = 25 - 9 =

x - 5 =

x = 9, 1

Required points on x-axis are (9, 0) and (1, 0).