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

Vertices ( 6, 0), foci ( 4, 0)


Vertices (6, 0), foci (4, 0).


Here, the vertices are on the x-axis.


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


Accordingly, a=6 and c = 4.


It is known that a2 = b2+c2.


62 = b2+42


36 = b2 + 16


b2 = 36 – 16


b =


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


12
1