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Math Help - Complex transformation z plane to w plane

  1. #1
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    Complex transformation z plane to w plane

    Hi , the question and mark scheme answer to part (b) is attached
    I don't understand in part (b) why the mark scheme lets z=lambda - (lambda+1) i .
    Is it related to the line x+y+1=0 .

    Thanks
    Attached Thumbnails Attached Thumbnails Complex transformation  z plane to w plane-question.png   Complex transformation  z plane to w plane-answer.png  
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  2. #2
    Member kalyanram's Avatar
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    Re: Complex transformation z plane to w plane

    Quote Originally Posted by minicooper58 View Post
    I don't understand in part (b) why the mark scheme lets z=lambda - (lambda+1) i . Is it related to the line x+y+1=0 . Thanks
    Yes. Given the line in z-plane any point P on the line can be taken as (\lambda, -(\lambda+1)) or equivalently z_P = \lambda +  -(\lambda+1).i
    Last edited by kalyanram; September 11th 2012 at 05:38 AM.
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  3. #3
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    Re: Complex transformation z plane to w plane

    Hi , I'm stuck after the line u/v= 2lamdba+1
    I don't understand how v is multiplied by two on the next line .

    Thanks
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