Q41 / 125 · BITSAT 2011 · Mathematics

If \(f(x)\) is a function that is odd and even simultaneously, then \(\mathrm{f}(3)-\mathrm{f}(2)\) is equal to

  • A
    1
  • B
    -1
  • Correct answer
    C
    0
  • D
    None of these

Solution

\(\mathrm{f}(\mathrm{x})=0 ~\forall~ \mathrm{x} \in \mathrm{R} \Rightarrow \mathrm{f}(3)-\mathrm{f}(2)=0\)

Hence, the correct answer is option: 'C'.

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