Q8 of 71 Page 27

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


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