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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If 3,A\sqrt{3}, A and 2\sqrt{2} are in APA P, then 3+22\frac{\sqrt{3}+\sqrt{2}}{2} is greater than or equal to
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Correct option: B
6\sqrt{6}
Option B (6\sqrt{6}) is correct because, since 3,A,2\sqrt{3}, A, \sqrt{2} are in AP, A is the AM of 3\sqrt{3} and 2\sqrt{2}, and AM >= GM.

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