In each of the following find the equations of the hyperbola satisfying he given condition: Vertices `(pm2,0),\ foc i(pm3,0)`

Explanation

We have given vertices `(+-2,0), foci (+-3,0)`

Here, the vertices are on the x-axis.

Therefore, the equation of the hyperbola is of the form

`x^2/a^2− y^2/b^2=1`

Since the vertices are `(pm2,0),a=2`.

Since the foci are `(pm3,0),c=3`.

We know that
`a^2+b^2=c^2`

`2^2+b^2=3^2`

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