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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
If f(x)=cos⁑(log⁑x)f(x)=\cos (\log x) then f(x)f(y)βˆ’12{f(xy)+f(xy)}f(x) f(y)-\frac{1}{2}\left\{f\left(\frac{x}{y}\right)+f(x y)\right\} is equal to:
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Correct option: A
0
Option A (0) is correct because the expression simplifies to 0 using trigonometric identities and the given function definition.

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