Tangents are drawn to a hyperbola from a point on one of the branches of its conjugate hyperbola. Show that their chord of contact will touch the other branch of the conjugate hyperbola.

Comparison of Hyperbola and its conjugate hyperbola

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

Prove that any hyperbola and its conjugate hyperbola cannot have common normal.

Tangents are drawn from the points on a tangent of the hyperbola x^(2)-y^(2)=a^(2) to the parabola y^(2)=4ax. If all the chords of contact pass through a fixed point Q, prove that the locus of the point Q for different tangents on the hyperbola is an ellipse.

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

If the distance between foci of a hyperbola is twice the distance between its directrices, then the eccentricity of conjugate hyperbola is :

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

Statement-I If eccentricity of a hyperbola is 2, then eccentricity of its conjugate hyperbola is (2)/(sqrt(3)) . Statement-II if e and e_1 are the eccentricities of two conjugate hyperbolas, then ee_1gt1 .