If f ( x ) = cos (log x ), then f ( x ) f ( y ) - 1 2 [f ( x y )+f(x y) ] has the value

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If f (x) = cos (log x), then f (x) f (y)\(-\frac{1}{2}\left[f\left(\frac{x}{y}\right)+f(x y)\right]\) has the value
  1. –1
  2. –2
  3. none of these

Answer

(D) none of these

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