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The eccentricity of the ellipse 4x^2+9y^...

The eccentricity of the ellipse `4x^2+9y^2=36` is a.`1/(2sqrt(3))` b. `1/(sqrt(3))` c. `(sqrt(5))/3` d. `(sqrt(5))/6`

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`4x^2+9y^2=36`
`implies {x^2}/9+{ y^2}/4=1`
Here, `a=3, b=2`
Eccentricity `e=sqrt{{a^2-b^2}/a^2}`
`= sqrt{{9-4}/9}`
`=sqrt{5/9}`
`=sqrt5 /3`
Hence, option (c) is correct.
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