9th Class Mathematics Related to Competitive Exam Question Bank Arithmetic

  • question_answer
    If  \[a={{b}^{x}}\], \[b={{c}^{y}}\], \[c={{a}^{z}}\], then xyz is

    A)  - 1                                         

    B)  0

    C)  1                                              

    D)  \[abc\]

    Correct Answer: C

    Solution :

     Consider\[{{a}^{1}}={{b}^{x}}={{({{c}^{y}})}^{x}}\]                 \[={{[{{({{a}^{2}})}^{y}}]}^{x}}={{a}^{zyx}}\] \[\therefore \]  \[1=xyz\] or            \[xyz=1\]


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