Q7 of 71 Page 27

The eccentricity of the hyperbola whose latus-rectum is half of its transverse axis, is

Given: Latus-rectum is half of its transverse axis


To find: eccentricity of the hyperbola


Formula used:


Standard form of the equation of hyperbola is,



Length of transverse axis is 2a


Latus-rectum of the hyperbola is


According to question:


Latus-rectum is half of its transverse axis




We know,







Hence, eccentricity is

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