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Defne the collections {E1, E2, E3, ........

Defne the collections {E1, E2, E3, .........} of ellipses and {R1, R2, R3, ........} of rectangles as follows: R1: rectangle of largest area, with sides parallel to the axes, inscribed in E1; En: ellipse 1 of largest area inscribed in Rn-1, n >1 ; Rn:rectangle of largest area, with sides parallel to the axes, inscribed in En, n >1 Then which of the following options is/are correct? (JEE-Adv.(Online)19)

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