Equation of ellipse $E_1$ is $\frac{x^2}{9}+\frac{y^2}{4}=1$, A rectangle $R_1$, whose sides are parallel to co-ordinate axes is inscribed in $E_1$ such that its area is maximum now $E_n$ is an ellipse inside $R_{n-1}$ such that its axes is along co-ordinate axes and has maxmim possible area $\forall n\ge 2,n\in N$, further $R_n$ is a rectangle whose sides are parallel to co-ordinate axes and is inscribed in $E_{n-1}$. Having maximum area $\forall n\ge 2,n\in N$

Views: 767 students