Write the eccentricity of an ellipse whose latus - rectum is one half of the minor axis.
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
⇒
⇒
⇒ .