If the latus rectum of an ellipse is half the length of the minor axis, then the eccentricity of the ellipse is
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latus rectum=2b²/a
minor axis=2b
acc to ques,
2b²/a=(1/2)*2b
2b²=ab
2b=a.......(1)
e=√1-(b²/a²)=√1-b²/4b²=√(3/4)=√3/2
minor axis=2b
acc to ques,
2b²/a=(1/2)*2b
2b²=ab
2b=a.......(1)
e=√1-(b²/a²)=√1-b²/4b²=√(3/4)=√3/2
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