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)