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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • 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) \[(1,4)\]

    C)  \[(0,5)\]                             

    D) \[(0,5]\]

    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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