A hyperbola having the transverse axis of length `sqrt2` units has the same focii as that of ellipse `3x^(2)+4y^(2)=12`, then its equation is

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 hyperbola having the transverse axis of length 2sin theta is confocal with the ellipse 3x^(2)+4y^(2)=12 .Then its equation is x^(2)csc^(2)theta-y^(2)sec^(2)theta=1x^(2)sec^(2)theta-y^(2)cos ec^(2)theta=1x^(2)sin^(2)theta-y^(2)cos^(2)theta=1x^(2)cos^(2)theta-y^(2)sin^(2)theta=1

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 hyperbola having the transverse axis of length (1)/(2) unit is confocal with the ellipse 3x^(2)+4y^(2) = 12 , then

For the ellipse 3x ^(2) + 4y ^(2) =12, the length of latus rectum is

The length of the transverse axis of a hyperbola, 2 cos0. the foci of the hyperbola are the same as that of the ellips 9x^(2)+16y^(2)=144. the equation of the hypperbola is

The length of the latusrectum of the ellipse 3x^(2)+y^(2)=12 is

the length of the latusrectum of the ellipse 3x^(2) + y^(2) = 12 . Is