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

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

KnowledgeBoat · Accepted Answer

Let y-coordinate of point P be k. ∴ x-coordinate = 2k. P = (2k, k) By distance formula, d = Given, P is equidistant from the points Q(2, -5) and R(-3, 6). On squaring both sides, P = (2k, k) = (16, 8). Hence, coordinates of P = (16, 8).

Mathematics

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

Coordinate Geometry

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