Define the collections {E, E2, E3, .......} of ellipses and {R, R, R3, ...} of rectangles...

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Define the collections {E, E2, E3, .......} of ellipses and {R, R, R3, ...} of rectangles as follows: X2 22=1; xy + 9 4 R: rectangle of largest area, with sides parallel to the axes, inscribed in E; E : En ellipse + = 1 of largest area inscribed in R-1, n > 1; an b R: rectangle of largest area, with sides parallel to the axes, inscribed in En, n > 1. Then which of the following options is/are correct? N A. (area of R) <24, for each positive integer N 5 The distance of a focus from the centre in E, is 32 B. C. D. n=1 The eccentricities of E18 and E19 are NOT equal The length of latus rectum of E, is Define the collections {E, E2, E3, .......} of ellipses and {R, R, R3, ...} of rectangles as follows: X2 22=1; xy + 9 4 R: rectangle of largest area, with sides parallel to the axes, inscribed in E; E : En ellipse + = 1 of largest area inscribed in R-1, n > 1; an b R: rectangle of largest area, with sides parallel to the axes, inscribed in En, n > 1. Then which of the following options is/are correct? N A. (area of R) <24, for each positive integer N 5 The distance of a focus from the centre in E, is 32 B. C. D. n=1 The eccentricities of E18 and E19 are NOT equal The length of latus rectum of E, is

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