In each of the, find the equations of the hyperbola satisfying the given conditions.
vertices (
7,0), e =
vertices (
7,0), e =
Here, the vertices are on the x- axis
Thus, the equation of the hyperbola is of the form ![]()
Since, the vertices are (
7,0), a = 7
It is given that e = ![]()
![]()
![]()
We know that, a2 + b2 = c2
Thus,
72 + b2 = ![]()
![]()
![]()
Thus, the equation of the hyperbola is ![]()