The difference between the lengths of the major axis and the latus - rectum of an ellipse is

Given that we need to find the difference between the lengths of major axis and length of latus rectum of an ellipse.

We know that the length of major axis is 2a and latus rectum is for the ellipse .

Let d be the difference.

⇒

⇒

We know that b² = a²(1 - e²)

⇒

⇒

⇒ d = 2ae²

∴ The correct option is D