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Find the eccentricity of an ellipse (x^(...

Find the eccentricity of an ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` whose latus reactum is half of its major axis.

A

`(1)/(sqrt(2))`

B

`sqrt((2)/(3))`

C

`(sqrt(3))/(2)`

D

none of these

Text Solution

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The correct Answer is:
A
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