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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If x,y,zx,y,z are positive integers, then (x+y)(y+z)(z+x)\left( {x + y} \right)\left( {y + z} \right)\left( {z + x} \right) is
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Correct option: B
>8  xyz> 8\;xyz
Option B (>8  xyz> 8\;xyz) is correct because it follows from applying the AM-GM inequality to the pairs (x, y), (y, z), and (z, x).

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