If a chord joining P(a sec theta, a tan ...

If a chord joining `P(a sec theta, a tan theta), Q(a sec alpha, a tan alpha)` on the hyperbola `x^2 - y^2 = a^2` is the normal at P, then tan `alpha` =

A

`tan theta (4 sec^(2) theta +1)`

B

`tan theta (4 sec^(2) theta -1)`

C

`tan theta (2 sec^(2) theta -1)`

D

`tan theta (1-2 sec^2 theta)`

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The correct Answer is:

B

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