JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    The domain of the function \[f(x)=\sqrt{\log \frac{1}{|\sin x|}}\] is [RPET 2001]

    A)            \[R-\{2n\pi ,\ n\in I\}\]

    B)            \[R-\{n\pi ,\ n\in I\}\]

    C)            \[R-\{-\pi ,\ \pi \}\]

    D)            \[(-\infty ,\ \infty )\]

    Correct Answer: B

    Solution :

     \[f(x)=\sqrt{\,\log \frac{1}{|\sin x|}}\] Þ \[3+x>0\]Þ \[x\ne n\pi +{{(-1)}^{n}}0\]                    Þ \[x\ne n\pi \]. Domain of \[f(x)\] \[=R-\{n\pi ,\,\,n\in I\}\].


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