find the equation of the ellipse in the following cases:

Ends of the major axis (0, ± ), ends of the minor axis (±1,0)

Given that we need to find the equation of the ellipse whose ends of major axis are and ends of the minor axis are (±1,0).

Let us assume the equation of the ellipse as (b²>a²).

We know that ends of the major axis of the ellipse are (0,±b)

⇒

⇒ b² = 5

We know that ends of the minor axis of the ellipse are (±a,0)

⇒ a = 1

⇒ a² = 1

The equation of the ellipse is

⇒

⇒

⇒ 5x² + y² = 5

∴ The equation of the ellipse is 5x² + y² = 5.