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J & K CET Engineering J and K - CET Engineering Solved Paper-2013

  • question_answer
    If \[S=\{(a,\,b):b=|a-1|,a\in Z\] and \[|a|<3\},\] where Z denotes the set of integers. Then, the range set of S is

    A)  \[\{1,\,2,\,3\}\]            

    B)  \[\{-1,\,2,\,3,\,1\}\]

    C)  \[\{0,\,1,\,2,\,3,\,4\}\]

    D)  \[\{-\,1,-\,2,-\,3,-\,4\}\]

    Correct Answer: C

    Solution :

    Given, \[S=\{(a,\,b):b=|a-1|,\,a\,\in Z\] and \[|a|<3\}\] \[z\to \] set of integers. \[\therefore \]  \[S=\{(-2,3),(-1,2),(0,1),(1,0),(2,1)\}\] \[\therefore \] Range of set \[(S)=\{0,1,2,3\}\] \[(\because \,|a|\,<3\,\,\Rightarrow \,\,-3<a<3)\]


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