Find the point on the y-axis whose distances from the points (3, 2) and (-1, 1.5) are in the ratio 2 : 1.

We know that, x-coordinate of the point on the y-axis is 0. Let point on y-axis be (0, y). By distance formula, D = Given, Distances of (0, y) from the points (3, 2) and (-1, 1.5) are in the ratio 2 : 1. Squaring both sides we get, Since, point lies on y-axis. So, y 0 Point = (0, y) = . Hence, required point = .