JEE Main & Advanced Sample Paper JEE Main Sample Paper-43

  • question_answer
    Let \[f(x)=\,\left\{ \begin{matrix}    |x|, & \text{for}\,\,0<\,|x|\,\le 2  \\    {} & \text{for}\,x=0  \\ \end{matrix} \right.\]. Then at \[x=0,\] f has

    A)  a local maximum       

    B)  no local minimum

    C)  a local minimum        

    D)  no extremism

    Correct Answer: A

    Solution :

     \[{{\rho }_{S}}\] Clearly from the graph \[{{\rho }_{P}}\] has point of local maxima at \[-h=-u{{t}_{1}}+\frac{1}{2}gt_{1}^{2}\].

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