In each of the following, find the equation for the ellipse that satisfies the given conditions:

Vertices ( 5, 0), foci ( 4, 0)


Vertices (), foci ( ).


Here, the vertices are on the x-axis.a


Therefore, the equation of the ellipse will be of the form =1, where a is the semi-major axis.


Accordingly, a=5 and c = 4.


It is known that a2 = b2+c2.


52 = b2+42


25 = b2 + 16


b2 = 25 – 16


b = = 3


Thus, the equation of the ellipse is =1 or = 1.


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