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