Let the equation of the required ellipse be

Given:

Coordinates of foci = (±2, 0) …(iii)

We know that,

Coordinates of foci = (±c, 0) …(iv)

∴ From eq. (iii) and (iv), we get

c = 2

It is also given that

we know that,

[∵ c = 2]

⇒ a = 4

Now, we know that,

c² = a² – b²

⇒ (2)² = (4)² – b²

⇒ 4 = 16 – b²

⇒ b² = 16 – 4

⇒ b² = 12

Substituting the value of a² and b² in the equation of an ellipse, we get