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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Application +4 | -1
If f(x)=cos⁡(log⁡x),f\left( x \right) = \cos \left( {\log x} \right), then f(x)f(y)−12[f(xy)+f(xy)]f\left( x \right)f\left( y \right) - \frac{1}{2}\left[ {f\left( {\frac{x}{y}} \right) + f\left( {xy} \right)} \right] has the value
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Correct option: D
0
Option D (0) is correct because the expression simplifies to zero using the cosine addition formula.

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