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1983

JEE Main 1983 Mathematics question on Sets Relations and Functions

If f(x)=cos⁡(log⁡x)f(x) = \cos(\log x), then f(x)⋅f(y)−12[f(xy)+f(xy)]f(x) \cdot f(y) - \dfrac{1}{2}\left[f\left(\dfrac{x}{y}\right) + f(xy)\right] has the value
  1. A.
    −1-1
  2. B.
    12\dfrac{1}{2}
  3. C.
    −2-2
  4. D.
    None of these
Show answer

Correct option: D

[1983]

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