Find the eccentricity of the hyperbola, the length of whose conjugate axis is of the length of the transverse axis.

Given: the length of whose conjugate axis is of the length of the transverse axis

To find: eccentricity of the hyperbola

Formula used:

The standard form of the equation of the hyperbola is,

Length of the conjugate axis is 2b and length of transverse axis is 2a

According to question:

We know,

Hence, the eccentricity of the hyperbola is