If the latus - rectum of an ellipse is one half of its minor axis, then its eccentricity is

Given that we need to find the eccentricity of the ellipse whose latus - rectum is one half of the minor axis.

We know that length of latus rectum is and length of minor axis is 2b.

⇒

⇒ a = 2b.

We know that eccentricity of the ellipse is

⇒

⇒

⇒ .

∴ The correct option is C