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A hyperbola, having the transverse axis ...

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

Text Solution

Verified by Experts

The correct Answer is:
B
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