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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`. Then its equation is

A

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

B

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

C

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

D

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

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