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

Explanation

Given

`5 x^{2}+9 y^{2}=1 `


`Rightarrow frac{x^{2}}{5}+frac{y^{2}}{9}=1 `


`therefore a=sqrt{5} and b=3`


Here, `b>a`, so the major and the minor axes of the ellipse are along the `x` - axis and the `y` - axis, respectively.

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