P is parabola y^2=4ax and locus of mid p...

P is parabola `y^2=4ax` and locus of mid points of all chords of this parabola passing through the vertex of P is a parabola P'. Axis of parabola P' will be

A

`(4ay-x^2)(x^2+4a^2)=a^2`

B

`(4ay+y^2)(x^2+4a^2)=a^2c^2`

C

`(4ax-y^2)(y^2+4a^2)=a^2c^2`

D

None of these

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The correct Answer is:

C

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