JEE Main & Advanced Sample Paper JEE Main Sample Paper-47

  • question_answer
    Let \[f(x)=\,\left\{ \begin{matrix}    \sin \,\frac{\pi x}{2},\,0\le \,x<1  \\    3-2x,\,\,x\ge 1\,  \\ \end{matrix}, \right.\] then

    A)  \[f(x)\]has local maxima at \[x=1\]

    B)  \[f(x)\]has local minima at \[x=1\]

    C)  \[f(x)\]doesn't have any local extrema at \[x=1\]

    D)  \[f(x)\]has global minima at \[x=1\]

    Correct Answer: A

    Solution :

      From graph, it is clear that, \[f(x)\] has local maxima at \[x=1\].

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