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Prove that the locus of the point of int...

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola `x^(2)-y^(2)=a^(2)" is " a^(2)(y^(2)-x^(2))=4x^(2)y^(2)`.

A

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

B

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

C

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

D

`y^2+x^2=4a^2x^2y^2`

Text Solution

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The correct Answer is:
C
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