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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a,b,c,da, b, c, d are positive real numbers such that a+b+c+d=2a+b+c+d=2, then m=(a+b)(c+d)m=(a+b)(c+d) satisfies the relation
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Correct option: A
0<m≤10 < m \leq 1
Option A (0<m≤10 < m \leq 1) is correct because, by AM-GM inequality, the maximum value of (a+b)(c+d) is 1 when a+b = c+d = 1, and since a,b,c,d are positive, m > 0.

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