Q. 205.0( 3 Votes )

Find the equation

Answer :

Given: Vertices are (0, ±3) and the eccentricity is


Need to find: The equation of the hyperbola and coordinates of foci.


Let, the equation of the hyperbola be:


Vertices are (±3, 0), that means, a = 3


A and B are vertices.


And also given, the eccentricity, e =


We know that,


Therefore,



[Squaring both sides]



[As a = 3]


So, the equation of the hyperbola is,



Coordinates of the foci = (ae, 0) = (4, 0) [Answer]


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