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]