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 quad rant and the area of the triangle ∆ OPQ 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

The correct answer is  (A, D)