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CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    In   a   group   G,   the   elements \[a,b,c,c,d\in G\]the \[{{(abc)}^{-1}}\]is:

    A)  \[{{c}^{-1}}{{b}^{-1}}{{a}^{-1}}\]                              

    B) \[{{b}^{-1}}{{c}^{-1}}{{d}^{-1}}\]

    C)  \[{{a}^{-1}}{{b}^{-1}}{{c}^{-1}}\]                              

    D)  \[{{b}^{-1}}{{c}^{-1}}{{a}^{-1}}\]

    Correct Answer: A

    Solution :

    A group G with elements a, b, c, d or\[a,b,c,d,\in ,G\] property of group that \[{{(ab)}^{-1}}={{b}^{-1}}{{a}^{-1}}\] Therefore \[{{(abc)}^{-1}}={{c}^{-1}}{{b}^{-1}}{{a}^{-1}}\]


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