Equation of hyperbola in standard form

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

The equation of the hyperbola in standard form, if the foci are (+-10,0) and eccentricity 5/2 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:

if in a hyperbola the eccentricity is sqrt3 and the distance between the foci is 9 then the equation of hyperbola in the standard form is:

Find the equation of hyperbola in the standard form given that length of L.R. =(14)/(3)&e=(4)/(3) .

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

The distance between the foci is 16 and the eccentricity is sqrt(2) . The equation of the hyperbola in standard form is

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