Equation Of Hyperbola

The differential equations of hyperbolas with coordinate axis as asymptotes is

If the equation of ellipse x^2/25 + y^2/16 =1 then find the equation of hyperbola such that product of eccentircities of both curves equal to 1 and the axes of ellipse are coinciding with hyperbola and also hyperbola passes through the focii of ellipse.

Which of the followig is the equation of a hyperbola ?

Which of the followig is the equation of a hyperbola ?

If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqrt5) the the equation of the hyperbola is

If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqrt5) the the equation of the hyperbola is

If the equation to the hyperbola is 3x^(2)-5xy-2y^(2)+5x+11y-8=0 then equation to the conjugate hyperbola is