Q. 11 A5.0( 1 Vote )

In each of the fo

Answer :

Given: Vertices are (±2, 0) and foci are (±3, 0)


To find: equation of the hyperbola


Formula used:


The standard form of the equation of the hyperbola is,



Vertices of the hyperbola are given by (±a, 0)


Foci of the hyperbola are given by (±ae, 0)


Vertices are (±2, 0) and foci are (±3, 0)


Therefore,


a = 2 and ae = 3


2 × e = 3



b2 = a2(e2 – 1)







b2 = 5


The equation of hyperbola:





5x2 – 4y2 = 20


5x2 – 4y2 – 20 = 0


Hence, required equation of hyperbola is 5x2 – 4y2 – 20 = 0


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