If f ( x + y 8 , x - y 8 )= xy , then f (m, n) + f (n, m) = 0

Mathematics · JEE Advanced · NTA ExamsSets, Relations and Functions

If \(f\left(\mathrm{x}+\frac{\mathrm{y}}{8}, \mathrm{x}-\frac{\mathrm{y}}{8}\right)=\mathrm{xy},\) then f (m, n) + f (n, m) = 0
  1. only when m = n
  2. only when mn
  3. only when m = – n
  4. for all m and n

Answer

(D) for all m and n

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