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Inverse Trigonometric Functions question

2022 · 29 Jun · Shift 1 · Q31

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JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 29 Jun · Shift 1 · Q31

Inverse Trigonometric Functions question

2022 · 29 Jun · Shift 1 · Q31

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The domain of the function

{\cos ^{ - 1}}\left( {{{2{{\sin }^{ - 1}}\left( {{1 \over {4{x^2} - 1}}} \right)} \over \pi }} \right)

is :

A
$R - \left\{ { - {1 \over 2},{1 \over 2}} \right\}$
B
$( - \infty , - 1] \cup [1,\infty ) \cup \{ 0\}$
C
$\left( { - \infty ,{{ - 1} \over 2}} \right) \cup \left( {{1 \over 2},\infty } \right) \cup \{ 0\}$
D
$\left( { - \infty ,{{ - 1} \over {\sqrt 2 }}} \right] \cup \left[ {{1 \over {\sqrt 2 }},\infty } \right) \cup \{ 0\}$

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