Hyperbola #shorts

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:

Comparison of Hyperbola and its conjugate hyperbola

Hyperbola- rectangular hyperbola (theory complete)

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

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

The differential equation of the rectangular hyperbola whose axes are the asymptotes of the hyperbola,is

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