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The point of intersection of two tangent...

The point of intersection of two tangents to the hyperbola `x^2/a^2-y^2/b^2=1`, the product of whose slopes is `c^2` , lies on the curve.

A

`y^2-a^2=c^2(x^2+b^2)`

B

`y^2+a^2=c^2(x^2-b^2)`

C

`y^2+b^2=c^2(x^2-a^2)`

D

`y^2-b^2=c^2(x^2+a^2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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