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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 21

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

    A) \[(-\infty ,0)\]

    B) \[(-\infty ,\infty )-\{0\}\]

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

    D) \[(0,\infty )\]

    Correct Answer: A

    Solution :

    [a] : Given,\[f(x)=\frac{1}{\sqrt{|x|-x}}\] Clearly, \[|x|-x>0\]\[\Rightarrow \]\[|x|>x\Rightarrow x\]is negative \[\therefore \]The domain of the function f(x) is \[(-\infty ,0)\]


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