From a point P(1, 2), pair of tangents are drawn to hyperbola, one tangent ot each arm of hyperbola. Equations of asymptotes of hyperbola are `sqrt3x-y+5=0 and sqrt3x+y-1=0`. Find the eccentricity of hyperbola.

From a point P(1,2) , two tangents are drawn to a hyperbola H in which one tangent is drawn to each arm of the hyperbola. If the equations of the asymptotes of hyperbola H are sqrt(3)x-y+5=0 and sqrt(3)x+y-1=0 , then the eccentricity of H is 2 (b) 2/(sqrt(3)) (c) sqrt(2) (d) sqrt(3)

The equation of the asymptotes of a hyperbola are 4x - 3y + 8 = 0 and 3x + 4y - 7 = 0 , then

The equation of the pair of asymptotes of the hyperbola xy-4x+3y=0 , is

Find the equation of the hyperbola whose : focus is (0,3) directrix is x+y-1=0\ and eccentricity =2.

If the eccentricity of a hyperbola is sqrt(3) , the eccentricity of its conjugate hyperbola, is

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

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

Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2)dot Find their equations.

Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2)dot Find their equations.

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.