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JEE Main & Advanced AIEEE Solved Paper-2011

  • question_answer
    If \[\omega \,(\ne 1)\] is a cube root of unity, and\[{{(1+\omega )}^{7}}=A+B\omega \]. Then (A, B) equals.   AIEEE  Solved  Paper-2011

    A) (?1, 1)                     

    B) (0, 1)

    C) (1, 1)                                        

    D) (1, 0)

    Correct Answer: C

    Solution :

                 \[{{(1+\omega )}^{7}}=A+B\omega \]              \[\Rightarrow \,\,{{(-{{\omega }^{2}})}^{7}}=A+B\omega \]              \[\Rightarrow \,\,-{{\omega }^{2}}=A+B\omega \]              \[\Rightarrow \,\,1+\omega =A+B\omega \]              \[\Rightarrow \,\,A=1,B=1\] \[\Rightarrow \,\,(A,B)=(1,1)\]


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