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JEE MATHEMATICS MCQ: FUNCTIONS

1 Hard
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Application +4 | -1
The domain of the function cosec−1(1+xx)\mathrm{cose}{\mathrm{c}^{ - 1}}\left( {\frac{{1 + x}}{x}} \right) is
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Correct option: D
[−12, ∞)−{0}\left[ { - \frac{1}{2},\,\infty } \right) - \left\{ 0 \right\}
Option D ([−12, ∞)−{0}\left[ { - \frac{1}{2},\,\infty } \right) - \left\{ 0 \right\}) is correct because it represents the values of x for which the argument of the inverse cosecant function is greater than or equal to 1 in absolute value.

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