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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
If f(x)+f(11−x)=2(1−2x)x(1−x)f(x)+f\left(\frac{1}{1-x}\right)=\frac{2(1-2 x)}{x(1-x)}, where, xx is a real number x≠0,x≠1x \neq 0, x \neq 1, then the value of f(2)f(2) must be
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Correct option: A
3
Option A (3) is correct because by substituting and manipulating the given functional equation, we can solve for f(2).

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