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 eccentricity of the hyperbola x^2-y^2=4 is

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

Find the equation of the asymptotes of the hyperbola 3x^2+10 x y+9y^2+14 x+22 y+7=0

The combined equation of the asymptotes of the hyperbola 2x^2 + 5xy + 2y^2 + 4x + 5y = 0 is -

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

Find the asymptotes and axes of hyperbola having equation xy-3y-4x+7=0 .

Find the equation of tangents to hyperbola x^(2)-y^(2)-4x-2y=0 having slope 2.

The lengths of transverse and conjugate axes of a hyperbola are 4 unit and 6 unit respectively and their equations are x + 3 = 0 and y - 1 = 0, find the equation of the hyperbola.

Find the length of the transverse and conjugate axes of the hyperbola 9x^(2) - 16y^(2) = 144 . Write down the equation of the hyperbola conjugate to it and find the eccentricities of both the hyperbolas.