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`

Explanation

Given

`4 x^{2}+9 y^{2}=36`

`Rightarrow frac{x^{2}}{9}+frac{y^{2}}{4}=1`

Comparing it with `frac{x^{2}}{a^{2}}+frac{y^{2}}{b^{2}}=1`


we get: `a=3` and `b=2`

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

` e=sqrt{1-frac{b^{2}}{a^{2}}} `

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