Equation of hyperbola in standard form

Equation of hyperbola is standard from having latus rectum = 9 and eccentricity = 5/4 is

if in a hyperbola the eccentricity is sqrt(3) and the distance between the foci is 9 then the equation of hyperbola in the standard form is:

Find the equation of the hyperbola in standard form , if : conjugata axis = 5 and distance between foci = 13

Equation of the hyperbola in standard form which passes through the points (6,9) and (3,0) is

Find the equation of the hyperbola in standard form , if : eccentricity = 3/2 and distance between directrices = 8/3

Find the equation of the hyperbola in standard form , if : it is confocal with the ellipse (x^(2)//9) + (y^(2)//5) = 1 and its eccentricity is (5/6) + eccentricity of the parabola 5y^(2) = 9x

Equation of parabola in its standard equation

The equation of rectangular hyperbola in standard form is

find the equation of ellipse in the standard form if passes through the points (-2,2) and (3,-1)

Relation between equation of Hyperbola and major minor axis