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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 `Delta OPQ` is `3sqrt(2)` , then which of the following is (are) the coordinates of `P?`

A

`(4,2sqrt(2))`

B

`(9,3sqrt(3))`

C

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

D

`(1,sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
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