In each of the, find the equations of the hyperbola satisfying the given conditions.

Vertices ( 2, 0), foci ( 3, 0)


Vertices ( 2, 0), foci ( 3, 0)


Here, the vertices are on the x-axis.


Thus,


The equation of the hyperbola is of the form


Since, the vertices are (2,0), a = 2


Since, the foci are (3, 0), c= 3


We know that, a2 + b2 = c2


Thus, 22 + b2 = 32


b2 = 9 – 4 = 5


Hence, the equation of the hyperbola is


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