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Inverse Trigonometric Functions question

2019 · 9 Jan · Shift 1 · Q28
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  5. /2019 · 9 Jan · Shift 1 · Q28

Inverse Trigonometric Functions question

2019 · 9 Jan · Shift 1 · Q28

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
If cos⁡−1(23x)+cos⁡−1(34x)=π2{\cos ^{ - 1}}\left( {{2 \over {3x}}} \right) + {\cos ^{ - 1}}\left( {{3 \over {4x}}} \right) = {\pi \over 2}cos−1(3x2​)+cos−1(4x3​)=2π​(x >343 \over 443​), then x is equal to :
  1. A
    14510{{\sqrt {145} } \over {10}}10145​​
  2. B
    14511{{\sqrt {145} } \over {11}}11145​​
  3. C
    14512{{\sqrt {145} } \over {12}}12145​​
  4. D
    14612{{\sqrt {146} } \over {12}}12146​​
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