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Through the vertex O of a parabola y^2 =...

Through the vertex O of a parabola `y^2 = 4x` chords OP and OQ are drawn at right angles to one-another. Then for all positions of P, PQ cuts the axis of the parabola at a fixed point and the locus of the middle point of PQ is

A

`y^2 =2x + 8`

B

`y^2 = x + 8`

C

`y^2 = 2x - 8`

D

`y^2 = x - 8`

Text Solution

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The correct Answer is:
C
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