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+6^{2 =} 64+36 =100

b = = 10

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