Length of the double ordinate of the hyperbola `x^2 - y^2 = a^2` which is conjugate to the directrix is

The length of the conjugate axis of the hyperbola 9x^(2) - 25y^(2) = 225 is -

PQ is the double ordinate of the hyperbola x^2/a^2-y^2/b^2=1 and O is the centre of the hyperbola. If triangle OPQ is an equilateral triangle, then show that the eccentricity of this hyperbola is e) e^2 >4/3

The length of the conjugate axis of the hyperbola 49 x^(2)-4 y^(2)=196 is

The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=1 is

Find the eccentricity of the hyperbola wich is conjugate to the hyperbola x^2-3y^2=3 .

The directrix of the hyperbola (x ^(2))/(9) - (y ^(2))/(4) =1 is

The directrix of the hyperbola (x ^(2))/(9) - (y ^(2))/(4) =1 is

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.