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JEE Main & Advanced Sample Paper JEE Main Sample Paper-16

  • question_answer
    Let \[f(x)=\left\{ \begin{matrix}    x+1; & x<1  \\    \lambda ; & x=1  \\    {{x}^{2}}-x+3; & x>1  \\ \end{matrix} \right.\] be a strictly increasing function at \[x=1\], then the set of values of \['\lambda '\] are

    A)  (2, 3)                                    

    B)  [2, 3)

    C)  [2, 3]                                    

    D)  \[\phi \]

    Correct Answer: C

    Solution :

    \[\Rightarrow \]\[2\le \lambda \le 3\]


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