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Byju's Answer

Standard XII

Mathematics

Vertex

Let P and Q b...

Question

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 quadrant and the area of the triangle OPQ is 3√2, then which of the following is the coordinates of P?

(-4, 2√2)

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(9, 3√2)

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(1, √2)

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Solution

The correct option is D
(1, √2)

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