Find the equations of the hyperbola satisfying the given conditions :Vertices `(+-7,0)`, `e=4/3`

Explanation

Here, Vertices of hyperbola `= (+-7,0)`

That means the transverse axis of the hyperbola is `X`-axis.

So, the equation will be of the type,

`x^2/a^2-y^2/b^2 = 1->(1)`

Also, `a = 7`

In a hyperbola, `c^2 = a^2+b^2`

Putting value of `c`,

`=> c^2 = 7^2+ b^2`

...