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Q.

If the length of a latus-rectum of an ellipse is equal to the length of semi minor axis, then the eccentricity is

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a

23

b

23

c

12

d

32

answer is C.

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Detailed Solution

Length of latus rectum =2b2a

∴2b2a=b⇒a=2b,e=1−ba2=1−122=32.

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If the length of a latus-rectum of an ellipse is equal to the length of semi minor axis, then the eccentricity is