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

According to the question,


Given,


PR = PQ






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


(x, y) =


By internal section formula;



=


Hence, the required coordinates of the point R is.


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