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JEE Main & Advanced AIEEE Solved Paper-2010

  • question_answer
      The number of complex numbers z such that \[|z-1|=|z+1|=|z-i|\]equals -       AIEEE  Solved  Paper-2010

    A) 0             

    B)                        1                             

    C)        2                             

    D)        \[\infty \]

    Correct Answer: B

    Solution :

    \[|z-1|=|z+1|=|z-i|\] The point z is equidistance from (?1, 0), (1, 0) and (0, 1) is only (0, 0) hence z is only point (0, 0)


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