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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If x,  y,  zx,\;y,\;z are in HP, then the value of expression log⁡(x+z)+log⁡(x−2y+z)  \log \left( {x + z} \right) + \log \left( {x - 2y + z} \right)\; will be
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Correct option: B
2log⁡(x−z)2\log \left( {x - z} \right)
Option B (2log⁡(x−z)2\log \left( {x - z} \right)) is correct because the given expression simplifies to 2log⁡(x−z)2\log(x-z) when x, y, and z are in Harmonic Progression (HP).

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