Q20 of 66 Page 7

The x-coordinate of a point P is twice its y-coordinate. If P is equidistant from Q(2,-5) and R(-3,6), find the coordinates of P.(CBSE 2016)

From the condition given in the question the figure can be drawn as follows:


Let us assume the point P be (2k, k), Q (2, -5) and R (-3, 6)


It is given in the question that,


PQ = PR


Now, by squaring both sides we get:


PQ2 = PR2


(2k, k)2 + (k + 5)2 = (2k + 3)2 + (k – 6)2


2k + 29 = 45


2k = 16


k = 8


Hence, the coordinates of point P is (16, 8)

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