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Inverse Trigonometric Functions question

2021 · 31 Aug · Shift 2 · Q23
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Inverse Trigonometric Functions question

2021 · 31 Aug · Shift 2 · Q23

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
The domain of the function f(x)=sin⁡−1(3x2+x−1(x−1)2)+cos⁡−1(x−1x+1)f(x) = {\sin ^{ - 1}}\left( {{{3{x^2} + x - 1} \over {{{(x - 1)}^2}}}} \right) + {\cos ^{ - 1}}\left( {{{x - 1} \over {x + 1}}} \right)f(x)=sin−1((x−1)23x2+x−1​)+cos−1(x+1x−1​) is :
  1. A
    [0,14]\left[ {0,{1 \over 4}} \right][0,41​]
  2. B
    [−2,0]∪[14,12][ - 2,0] \cup \left[ {{1 \over 4},{1 \over 2}} \right][−2,0]∪[41​,21​]
  3. C
    [14,12]∪{0}\left[ {{1 \over 4},{1 \over 2}} \right] \cup \{ 0\}[41​,21​]∪{0}
  4. D
    [0,12]\left[ {0,{1 \over 2}} \right][0,21​]
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