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Math Help - Complex number

  1. #1
    Senior Member pankaj's Avatar
    Joined
    Jul 2008
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    New Delhi(India)
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    318

    Complex number

    1.Let z be a complex number such that |z| = 1.

    Find the minimum and maximum value of

    |1 + z| + |1 - z + z^2|



    2.If a>0 and |z+\frac{1}{z}|=a.

    Then find minimum and maximum value of |z|

    What does the equation

    |z+\frac{1}{z}|=a

    denote geometrically.
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  2. #2
    Super Member Deadstar's Avatar
    Joined
    Oct 2007
    Posts
    722
    Perhaps use the triangle equality for part 1.

    |z + w| <= |z| + |w| would help you find the max.
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