In each of the following, find the equation for the ellipse that satisfies the given conditions:
Length of minor axis 16, foci (0, 6).
Length of major axis = 26; foci = ().
Since the foci are on the x-axis, the major axis is along the x-axis.
Therefore, the equation of the ellipse will be of the form =1, where a is the semi-major axis.
Accordingly, 2b =16 b = 8 and c=6.
It is known that a2 = b2+c2.
a2 = 82+62 = 64+36 =100
b = = 10
Thus, the equation of the ellipse is =1 or = 1.