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In an ellipse (x^(2))/(a^(2))+(y^(2))/(b...

In an ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` if the distance between the directrix is `3` times the distance between the foci, then the eccentricity is

A

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

B

`(1)/(sqrt(3))`

C

`(1)/(2)`

D

`(1)/(3)`

Text Solution

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The correct Answer is:
B
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