The length of conjugate axis of a hyperbola is 8 and its asymptotes are `y=2/3x` and `y=-2/3x`. find the equation of hyperbola and its ecentricity

Focus of hyperbola is (+-3,0) and equation of tangent is 2x+y-4=0 , find the equation of hyperbola is

The equation of conjugate hyperbola of x^2/8 - 3y^2/8 =1

The equation of the directrix of a hyperbola is x-y+3=0. Its focus is (-1,1) and eccentricity 3. Find the equation of the hyperbola.

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

Find the eccentricity of the hyperbola with asymptotes 3x+4y=2 and 4x-3y=1

The asymptotes of a hyperbola are 3x-y-7=0 and x-5y-3=0. The hyperbola passes through the point (2,1) . Find the equation of the hyperbola and its centre.

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

Find the equation of the hyperbola whose asymptotes are 3x=+-5y and the vertices are (+-5,0)