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 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

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

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

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

A hyperbola having the transverse axis of length 2 sin theta , is confocal with the ellipse 3x^2+4y^2=12. Then show that the equation of this hyperbola is (x^(2))/(sin^(2) theta)-y^(2)/(cos^(2) theta)=1 .