Question

Let P and Q be distinct points on the parabola y² = 2x such that a circle with PQ as diameter passes through
the vertex O of the parabola. If P lies in the first quadrant and the area of the triangle ΔOPQ is 3 √2 , then
which of the following is (are) the coordinates of P ?
(A) (4, 2√2) (B) (9, 3 √2)
(C) (1/4, 1/√2) (D) (1,√2)

Answer 1

A, D

both can be possible!

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