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  3. CEE Kerala Engineering

CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2005

  • question_answer
    The domain of \[{{\sin }^{-1}}\left( {{\log }_{3}}x \right)\]is:

    A)  \[[-1,1]\]                            

    B)  \[[0,1]\]

    C)  \[[0,\infty ]\]   

    D)         \[R\]

    E)  \[\left[ \frac{1}{3},3 \right]\]

    Correct Answer: E

    Solution :

    For domain of \[{{\sin }^{-1}}\left( {{\log }_{3}}x \right)\] \[\therefore \]  \[-1\le {{\log }_{3}}x\le 1\] \[\Rightarrow \]               \[{{3}^{-1}}\le x\le 3\] \[\therefore \]Domain of\[{{\sin }^{-1}}({{\log }_{3}}x)=\left[ \frac{1}{3},3 \right]\]


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