The equation of a rectangular hyperbola whose asymptotes are x = 3 and y = 5 and passing through (7, 8) is

The equation of a hyperbola whose asymptotes are 3x +- 5y =0 and vertices are (+-5,0) is

Find the equation of the hyperbola whose vertices are (0 , -+7) and e = 4/3

Equation of the rectangular hyperbola whose focus is (1,-1) and the corresponding directrix is x-y+1=0

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=2.

Find the equation of the ellipse whose e = 3/4 foci on y-axis , centre at origin and passing through (6,4)

Find the equation of the hyperbola whose foci are (8, 3) and (0, 3) and eccentricity is 4/3 .

If P N is the perpendicular from a point on a rectangular hyperbola x y=c^2 to its asymptotes, then find the locus of the midpoint of P N