Show that the locus of the middle points...

Show that the locus of the middle points of normal chords of the parabola `y^2=4ax` is

A

`(x^(2)+y^(2))+4a^(2)x^(2)y^(2)=0`

B

`(x^(2)-y^(2))^(3)+4a^(2)x^(2)y^(2)=0`

C

`(x^(2)+y^(2))-4a^(2)x^(2)y^(2))=0`

D

`(x^(2)-y^(2))^(2)-4a^(2)x^(2)y^(2)=0`

Verified by Experts

The correct Answer is:

B

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