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JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    Let \[f(x)=[x],\] where \[[x]\] denotes the greatest integer less than or equal to x. if \[a=\sqrt{{{2011}^{2}}+2012}\], then the value of fis equal to

    A) 2010

    B) 2011

    C) 2012

    D)        2013

    Correct Answer: B

    Solution :

    [b] \[a=\sqrt{{{2011}^{2}}+2012}=2011.5;\] \[f(a)=[2011.5]=2011\]


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