The equation to the hyperbola of given transverse axis whose vertex bisects the distance between the centre and focus, is given by

Find the equation of the hyperbola of given length of transverse axis 6 whose vertex bisects the distance between the centre and the focus.

The equation to the hyperbola of given transverse axis 2a along x- axis and whoe vertex bisects the distance between the centre and the focus is

The equation of the hyperbola of given transverse axis 2a with its vertex mid-way between the centre and the corresponding focus, is

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

Find the equation of hyperbola whose transverse axis is 10 conjugate axis is 6.

For hyperbola, If transverse axis = conjugate axis , then e =

Find the equation of the hyperbola with eccentricity sqrt(2) and the distance between whose foci is 16.

Find the equation of the hyperbola whose eccentricity is sqrt(2) and the distance between the foci is 16, taking transverse and conjugate axes of the hyperbola as x and y-axes respectively.

The eccentricity of the hyperbola whose latuscrectum is 8 and conjugate axis is equal to half the distance between the foci, is