Conjugate Hyperbola

Find the equation of the hyperbola whose conjugate axis is 5 and the distance between the foci is 13.

Find the equation of the hyperbola whole transverse and conjugate axes are 8 and 6 respectively.

Find the equation of the hyperbola whose foci are at (0,+-6) and the length of whose conjugate axis is 2sqrt(11) .

Find the equation of the hyperbola in which the length of conjugate axis is 5 and the distance between foci is 13.

The equation of a hyperbola conjugate to the hyperbola x^(2)+3xy+2y^(2)+2x+3y=0 is

If the eccentricity of the hyperbola conjugate to the hyperbola (x^2)/(4)-(y^2)/(12)=1 is e, then 3e^2 is equal to:

Ecceptricity of the hyperbola conjugate to the hyperbola (x^(2))/(4)-(y^(2))/(12)=1 is

Statement 1: The asymptotes of hyperbolas 3x+4y=2 and 4x-3y=5 are the bisectors of the transvers and conjugate axes of the hyperbolas.Statement 2: The transverse and conjugate axes of the hyperbolas are the bisectors of the asymptotes.

Find the equation of hyperbola whose conjugate axis = latus-rectum = 8 ,