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Let P and Q be distinct points on the pa...

Let P and Q be distinct points on the parabola `y^(2) = 2x` such that a circle with PQ as diameter passes through the veriex O of the parabola. if P lies in the first quadrant and the area of the triangle `DeltaOPQ` is `3sqrt2` , then which of the following is (are) the coordiantes of P?

A

`(4,2sqrt2)`

B

`(9,3sqrt2)`

C

`(1/4,1/(sqrt2))`

D

`(1,sqrt2)`

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The correct Answer is:
A, D
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