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A hyperbola, having the transverse axis ...

A hyperbola, having the transverse axis of length `2 sin theta` is confocal with the ellipse `3x^(2) + 4y^(2) =12`. Its equation is

A

`x^(2) sin^(2) theta- y^(2) cos^(2) theta=1`

B

`x^(2) cosec^(2) theta - y^(2) sec^(2) theta=1`

C

`(x^(2) + y^(2)) sin^(2) theta= 1 + y^(2)`

D

`x^(2) cosec^(2) theta= x^(2) + y^(2) + sin^(2) theta`

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