Any Coordinate Freak would like it!

Let $P$ and $Q$ be distinct points on the parabola $y^2=2x$ 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 $OPQ$ is $3\sqrt{2}$ .Then which of the following is/are the possible coordinates of $P$ ?

(a): $\left(4,2\sqrt2\right)$
(b): $\left(9, 3\sqrt2 \right)$
(c): $\left( \frac14 , \frac1{\sqrt2} \right)$
(d): $\left( 1, \sqrt2\right)$

Give the answer as 1's for correct and 9's for incorrect like if the answers are (a), (b) and (c), then answer will be 1119.