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A hyperbola having the transversal axis ...

A hyperbola having the transversal axis of length `2sintheta` is confocal with the ellipse `3x^2+4y^2=12` Then its equations is :

A

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

B

`x^(2) sec ^(2) theta-y^(2) operatorname(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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