JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relation and Functions-II

  • question_answer
    The domain of the function f(x)=\[\frac{1}{\sqrt{^{10}{{C}_{x-1}}-3{{\times }^{10}}{{C}_{x}}}}\] contains the points

    A) \[9,10,11\]

    B) \[9,10,12\]

    C) All natural numbers

    D) None of these

    Correct Answer: D

    Solution :

    [d] Given function is defined if \[^{10}{{C}_{x-1}}>{{3}^{10}}{{C}_{x}}\] or \[\frac{1}{11-x}>\frac{3}{x}\,\,or\,\,4x>33\,\,or\,\,x\ge 9\] But \[x\le 10\therefore x=9,10\]


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