Point is fixed in the coordinate plane

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

Point P(1,2)P(1,2) is fixed in the coordinate plane. A point R(x,y)R(x,y) satisfies the two conditions (i) the slope of PRPR is 22, and (ii) PR=5PR = 5 units. Determine the possible coordinates of RR.

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