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UPSC NDA I 2014 Mathematics Paper

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DIRECTIONS: (For the next two (02) items that follow):
Consider an ellipse ‌

x2

a2

+‌

y2

b2

=1

[NDA I 2014]

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Question : 85

Total: 120

What is the area of the greatest rectangle that can be inscribed in the ellipse?

ab
2 ab
ab/2
√ab

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