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JEE MATHEMATICS MCQ: FUNCTIONS

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If f(x)=(x1−∣x∣)1/2002f\left( x \right) = {\left( {\frac{x}{{1 - \left| x \right|}}} \right)^{1/2002}} then Df{D_f} is
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Correct option: C
(−∞,  −1)∪(0,  1)\left( { - \infty ,\; - 1} \right) \cup \left( {0,\;1} \right)
Option C ((−∞,;−1)∪(0,;1)\left( { - \infty ,\\; - 1} \right) \cup \left( {0,\\;1} \right)) is correct because the expression inside the square root must be positive, leading to the specified domain.

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