Question

Find the coordinates of the point R on the line segment joining the points P(-1, 3) and Q(2, 5) such that PR = 3/5 PQ.

Answer 1

According to the question,

Given,

∴ RQ:PR = 2:3

Or

PR:RQ = 3:2

Let’s take,

R (x, y) be the point which divides the line segment joining the points P ( - 1, 3) and Q (2, 5) in the ratio 3:2

Hence, the required coordinates of the point R is (4/5, 21/5)