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Find the locus of the mid-points of the chords of the parabola `y^2=4ax` which subtend a right angle at the vertex of the parabola.

A

`y^2-2ax+8a^2=0`

B

`y^2=a(x-4a)`

C

`y^2=4a(x-4a)`

D

`y^2+3ax+4a^2=0`

Text Solution

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The correct Answer is:
A
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