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The latus rectum LL^(') subtends a right...

The latus rectum `LL^(')` subtends a right angle at the centre of the ellipse, then its eccentricity is

A

`(sqrt(5)+1)/(4)`

B

`(sqrt(5)-1)/(2)`

C

`sqrt(10-2sqrt(5))/(5)`

D

`sqrt(10+2sqrt(5))/(5)`

Text Solution

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The correct Answer is:
B
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