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If the major axis of an ellipse is three...

If the major axis of an ellipse is three times the minor axis, then its eccentricity is equal to a.`1/3` b.`1/(sqrt(3))` c. `1/(sqrt(2))` d. `(2sqrt(2))/3` e. `3/(3sqrt(2))`

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Given, `a=3b`
Eccentricity `e=sqrt{{a^2-b^2}/a^2}`
`=sqrt{{(3b)^2-b^2}/(3b)^2}`
`=sqrt{8/9}`
`=(2sqrt2)/3`
Hence, option (d) is correct.
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