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A hyperbola having the transverse axis o...

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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The correct Answer is:
A
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