Q9 of 34 Page 1

P and Q are the points with co-ordinates (2, -1) and (-3, 4). Find the co-ordinates of the point R such that PR is 2/5 of PQ.

Given,



As, PQ = PR + RQ


We have,







⇒ PR : RQ = 2 : 3


i.e. R divides PQ in 2 : 3


Using section formula, i.e.


The coordinates of Point R which divides line PQ in a ration m : n is



Where, (x1, y1) and (x2, y2) are the coordinates of points P and Q respectively.


We have, P(2, -1), Q(-3, 4) and ratio is 2 : 3




Hence, coordinates of R is (0, 1)


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