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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    If\[|f(x)|\]is continuous at\[x=a,\]then\[f(x)\]is:

    A)  continuous at \[x=a\]

    B)  continuous at\[x=-a\]

    C)  continuous at\[x=\sqrt{a}\]

    D)  not continuous at\[x=-a\]

    E)  not be continuous at\[x=a\]

    Correct Answer: E

    Solution :

    \[|f(x)|\]is continuous at\[x=a,f(x)\]is not be continuous at \[x=a\] \[\therefore \]  \[|f(x)|=\left\{ \begin{matrix}    f(x), & x>a  \\    -f(x), & x<a  \\ \end{matrix} \right.\]


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