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JEE Main & Advanced Sample Paper JEE Main Sample Paper-2

  • question_answer
    \[f(x)=\left\{ \begin{matrix}    \{x\}, & [x]\,\text{is}\,\text{odd}  \\    1-\{x\}, & [x]\,\text{is}\,\text{even}  \\ \end{matrix} \right.\] [.] denotes greatest integer function and {.} denotes fractional part function, then area bounded by \[y=f(x),\,x\in [0,\,5]\] and \[x\]-axis is

    A)  2                                            

    B)  3

    C)  5/2                                       

    D)  5

    Correct Answer: C

    Solution :

    Area  \[=5\times \frac{1}{2}\times 1\times 1=\frac{5}{2}\] square units


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