Through the positive vertex of the hyperbola a tangent is drawn, where does it meet the conjugate hyperbola?

If the eccentricity of a hyperbola is 2, then find the eccentricity of its conjugate hyperbola.

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

Tangent To Hyperbola

Comparison of Hyperbola and its conjugate hyperbola

If the tangent at the point P(a sec theta , b tan theta) to the hyperbola passes through the point where a directrix of the hyperbola meets the positive side of the transverse axis, then theta is equal to

Through the vertex O of the parabola y^(2) = 4ax , a perpendicular is drawn to any tangent meeting it at P and the parabola at Q. Then OP, 2a and OQ are in

The tangent at the vertex of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets its conjugate hyperbola at the point whose coordinates are

If the eccentricity of a hyperbola is (5)/(3) .Then the eccentricity of its conjugate Hyperbola is