JEE Advanced 2019 Mathematics question
Define the collections of ellipses and of rectangles as follows: ; : rectangle of largest area, with sides parallel to the axes, inscribed in ; : ellipse of largest area inscribed in , ; : rectangle of largest area, with sides parallel to the axes, inscribed in , . Then which of the following options is/are correct?
Answer: (B),(C)
Solution
The largest rectangle inscribed in has vertices and area ; the largest ellipse inscribed in that rectangle has semi-axes , . Hence ,
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