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Tangents drawn from the point (c, d) to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` make angles `alpha` and `beta` with the x-axis.
If `tan alpha tan beta=1`, then find the value of `c^(2)-d^(2)`.

A

`a^2-b^2`

B

`b^2-a^2`

C

`a^2+b^2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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