If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the center of the hyperbola ,then find the eccentricity of the hyperbola.

If the latusrectum of a hyperbola forms an equilateral triangle with the vertex at the centre of the hyperbola, then the eccentricity of the hyperbola is:

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

If PQ is a double ordinate of the hyperbola such that OPQ is an equilateral triangle, being the centre of the hyperbola, then eccentricity e of the hyperbola satisfies

If the latus rectum of a hyperbola subtend an angle of 60A^(@) at the other focus, then eccentricity of the hyperbola is

If the latus rectum of an hyperbola be 8 and eccentricity be (3)/( sqrt5) the the equation of the hyperbola is

If PQ is a double ordinate of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 such that OPQ is an equilateral triangle,O being the center of the hyperbola, then find the range of the eccentricity e of the hyperbola.

if the eccentricity of the hyperbola is sqrt2 . then find the general equation of hyperbola.

The angle between the asymptotes of a hyperbola is 30^(@). The eccentricity of the hyperbola may be