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Let P and Q be distinct points on the parabola {y}^{{2}}={2}{x

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Let P and Q be distinct points on the parabola $y^{2} = 2 x$ 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 $Δ O P Q$ is $32$ , then which of the following is (are) the coordinates of $P ?$

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Theodore Discussed

Let P and Q be distinct points on the parabola

y^{2} = 2 x

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

Δ O P Q

32

, then which of the following is (are) the coordinates of

P ?

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Question Text	Let P and Q be distinct points on the parabola $y^{2} = 2 x$ 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 $Δ O P Q$ is $32$ , then which of the following is (are) the coordinates of $P ?$
Answer Type	Video solution: 1
Upvotes	151