Q5 of 76 Page 26

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


⇒


⇒


⇒ .


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