JEE Advanced 2015 Paper 1 Mathematics Q13

Mathematics

Problem

Let PP and QQ be distinct points on the parabola y2=2xy^2=2x such that a circle with PQPQ as diameter passes through the vertex OO of the parabola. If PP lies in the first quadrant and the area of the triangle △OPQ\triangle OPQ is 323\sqrt2, then which of the following is (are) the coordinates of PP?

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