Find the equation of the hyperbola whose foci are and the eccentricity is .

Given: Foci are , and the eccentricity is


Need to find: The equation of the hyperbola.


Let, the equation of the hyperbola be:


The eccentricity, e =


And also given, foci are



That means, ae =



[As e =]



We know that,


Therefore,



[Squaring both sides]



[As a = ]


So, the equation of the hyperbola is,


[Answer]


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