Question

If the latus rectum of an ellipse is one half of its minor axis find its eccentricity

Answer 1

Answer : e=3–√2

It is given that 2b2a=b

2ba=1

⇒2b=a

∴c=(2b)2−b2−−−−−−−−√

⇒c=b3–√

∴e=3–√ba

Substituting for a we get

e=3–√2