Equation of ellipse `E_(1)` is `(x^(2))/(9)+(y^(2))/(4)=1`, A rectangle `R_(1)`, whose sides are
Channel: Doubtnut
Date: 05/04/2020

Equation of ellipse `E_(1)` is `(x^(2))/(9)+(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 `AA 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 `AA n ge 2, n in N`