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

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