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  4. The distance between the directrices of the ellipse (x2/36)+(y2/20)=1 is

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Q. The distance between the directrices of the ellipse $\frac{x^2}{36}+\frac{y^2}{20}=1$ is

Conic Sections

Solution:

$e =\sqrt{1-\frac{20}{36}}=\frac{2}{3} $
$ \Rightarrow \frac{2 a }{ e }=\frac{2 \times 6}{2} \times 3=18$