KVPY Sample Paper KVPY Stream-SX Model Paper-5

  • question_answer
    Which of the following intervals is a possible domain of the function \[f\,(x)={{\log }_{\{x\}}}[x]+{{\log }_{\{x\}}}\{x\}?\] Where [x] is the greatest integer function and {x} is the fractional part of x.

    A) (0, 1)                

    B) (1, 2)

    C) (2, 3)    

    D) (3, 6)

    Correct Answer: C

    Solution :

    [c] We have, \[f(x)={{\log }_{\{x\}}}[x]+{{\log }_{[x]}}\{x\}\] \[[x]>1x\in /\]integer \[\therefore \]\[x\in (2,3)\] only satisfy the option.    

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