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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
If f(x+y,  x−y)=xyf\left( {x + y,\;x - y} \right) = xy, then the arithemetic mean of f(x,  y)  and  f(y,  x)f\left( {x,\;y} \right)\;and\;f\left( {y,\;x} \right) is
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Correct option: C
0
Option C (0) is correct because the arithmetic mean simplifies to zero after substituting and simplifying.

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