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Math Help - Complex numbers: how do I show unique solution?

  1. #1
    LHS
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    Complex numbers: how do I show unique solution?



    Hi, I would really appreciate some help on part a, i'm simply getting no where. This is classed as a geometry question, but I haven't covered anything close to this in lectures yet so i'm a little confused, thanks in advance!


    Moderator edit: From past Oxford moderation paper.
    Last edited by mr fantastic; May 8th 2011 at 11:39 PM.
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  2. #2
    MHF Contributor
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    Hi

    \displaystyle Az + B \bar{z} = C
    Conjugating :
    \displaystyle \bar{B}z + \bar{A} \bar{z} = \bar{C}

    Now try to eliminate \bar{z} through a combination of the 2 equations
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  3. #3
    LHS
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    Nice! part a is now sorted, thanks

    Any chance you could give me a hint for the part about a reflection in b, all is going smoothly up to there now
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  4. #4
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    Quote Originally Posted by LHS View Post


    Hi, I would really appreciate some help on part a, i'm simply getting no where. This is classed as a geometry question, but I haven't covered anything close to this in lectures yet so i'm a little confused, thanks in advance!
    This looks like part of an assignment that counts towards your final grade. Thread closed (see rule #6).
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