If f ( x + y 8 , x - y 8 )= xy , then f (m, n) + f (n, m) = 0
Mathematics · JEE Advanced · NTA Exams — Sets, 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
- only when m = n
- only when m ≠ n
- only when m = – n
- for all m and n
Answer
(D) for all m and n
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