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JEE MATHEMATICS MCQ: MAXIMA & MINIMA

1 Easy
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Application +4 | -1
If sin⁡θ+cos⁡θ=1\sin \theta+\cos \theta=1, then the minimum value of (1+cosec⁡θ)(1+sec⁡θ)(1+\operatorname{cosec} \theta)(1+\sec \theta) is
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Correct option: D
9
Option D (9) is correct because it is the minimum value obtained by using AM ≥ GM inequality and the given condition sin⁡θ+cos⁡θ=1\sin \theta + \cos \theta = 1.

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