Given:

Coordinates of foci = (0, ±4) …(i)

We know that,

Coordinates of foci = (0, ±c) …(ii)

The coordinates of the foci are (0, ±4). This means that the major and minor axes are along y and x axes respectively.

∴ From eq. (i) and (ii), we get

c = 4

It is also given that

we know that,

[∵ c = 4]

⇒ a = 5

Now, we know that,

c² = a² – b²

⇒ (4)² = (5)² – b²

⇒ 16 = 25 – b²

⇒ b² = 25 – 16

⇒ b² = 9

Since, the foci of the ellipse are on y – axis. So, the Equation of Ellipse is

Substituting the value of a² and b² , we get