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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Domain of the function \[f(x)=\frac{x-3}{(x-1)\sqrt{{{x}^{2}}-4}}\] is            [BIT Ranchi 1991]           

    A)            (1, 2)

    B)            \[(-\infty ,\ -2)\cup (2,\ \infty )\]

    C)            \[(-\infty ,\ -2)\cup (1,\ \infty )\]

    D)            \[(-\infty ,\ \infty )-\{1,\ \pm 2\}\]

    Correct Answer: B

    Solution :

               Obviously, here \[|x|\,\,>\,\,2\] and \[x\ne 1\] i.e., \[x\in (-\,\infty ,\,-\,2)\,\cup \,(2,\,\infty )\].


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