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If latus recturn of the ellipse x^2 tan^...

If latus recturn of the ellipse `x^2 tan^2 alpha+y^2 sec^2 alpha= 1` is `1/2` then `alpha(0 lt alpha lt pi)` is equal to

A

`2sqrt(cot)alpha`

B

`2sqrt(tan)alpha`

C

`2sqrt(tan alpha)^(3//2)`

D

`2sqrt(cot alpha)^(3//2)`

Text Solution

Verified by Experts

The correct Answer is:
c
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