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Prove that the product of the lengths of...

Prove that the product of the lengths of the perpendicular drawn from foci on any tangent to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1 is b^(2)`

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The correct Answer is:
`((m^(2)+1)b^(2))/(m^(2)+1) = b^(2)`
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