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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2005

  • question_answer
        The domain of definition of the function\[f(x)=\sqrt{{{\log }_{10}}\left( \frac{5x-{{x}^{2}}}{4} \right)}\]is:

    A)  [1, 4]                                    

    B)  [1, 0]

    C)  [0, 5]                                    

    D)  [5, 0]

    Correct Answer: A

    Solution :

                    The function\[f(x)=\sqrt{{{\log }_{10}}\left( \frac{5x-{{x}^{2}}}{4} \right)}\]exists for \[\frac{5x-{{x}^{2}}}{4}\ge 1\]\[\Rightarrow \]\[5x-{{x}^{2}}-4\ge 0\]\[\Rightarrow \]\[x\in [1,4]\]


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