Mathematics - Ellipse Question with Solution | TestHub

Let ${\mathrm{E}}_1:\frac{x^2}{9}+\frac{y^2}{4}=1$ be an ellipse. Ellipses ${\mathrm{E}}_1$ 's are constructed such that their centres and eccentricities are same as that of $E_1$, and the length of minor axis of $E_i$ is the length of major axis of $E_{i+1}(i\ge 1)$. If $A_i$ is the area of the ellipse $E_i$, then $\frac{5}{\pi }\left({\sum }_{i=1}^{\infty }{A}_i\right)$, is equal to