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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 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 coordinates of P ?

A

`( 4 , 2 sqrt(2))`

B

`( 9 , 3sqrt(2))`

C

`((1)/(4),(1)/(sqrt(2)))`

D

`(1 , sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, D
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