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If (a sec theta, b tan theta) and (a sec...

If `(a sec theta, b tan theta)` and `(a sec phi, b tan phi)` are the ends of a focal chord of `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`, then prove that `tan.(theta)/(2)tan.(phi)/(2)=(1-e)/(1+e)`.

A

`(e-1)/(e+1)`

B

`(1-e)/(1+e)`

C

`(1+e)/(1-e)`

D

`(e+1)/(e-1)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
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