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Question

If the latus-rectum of an ellipse be equal to half of its minor axis, then its eccentricity is ––––––

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Solution

Given: Length of latus-rectum is equal to half of minor axis.

2b2a=b

ba=12 [b0]

b2a2=14

1b2a2=34

e2=34

e=32 [e>0]

Hence, the eccentricity is e=32

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