Results 1 to 6 of 6

Thread: Complex numbers - set of points

  1. #1
    Junior Member
    Joined
    Sep 2012
    From
    sweden
    Posts
    61

    Complex numbers - set of points

    Can someone please help me describe this set of points



    {z ∈ C | Im(z) = 2 Re(z) − 2}
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,776
    Thanks
    2823
    Awards
    1

    Re: Complex numbers - set of points

    Quote Originally Posted by Tala View Post
    Can someone please help me describe this set of points
    {z ∈ C | Im(z) = 2 Re(z) − 2}
    That is just the set $\displaystyle \{(x,y)|~y=2x-2\}$.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Sep 2012
    From
    sweden
    Posts
    61

    Re: Complex numbers - set of points

    But how do I draw it in the complex plane?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,776
    Thanks
    2823
    Awards
    1

    Re: Complex numbers - set of points

    Quote Originally Posted by Tala View Post
    But how do I draw it in the complex plane?
    The same way you graph it in $\displaystyle R^2$.

    $\displaystyle \text{Re}(z)$ is the $\displaystyle x\text{-axis}$ and $\displaystyle \text{Im}(z)$ is the $\displaystyle y\text{-axis}$.

    It is a line.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Sep 2012
    From
    sweden
    Posts
    61

    Re: Complex numbers - set of points

    But how do I plot this in Re(z)-2 ?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor

    Joined
    Aug 2006
    Posts
    21,776
    Thanks
    2823
    Awards
    1

    Re: Complex numbers - set of points

    Quote Originally Posted by Tala View Post
    But how do I plot this in Re(z)-2 ?
    Can you plot $\displaystyle y=2x-2~?$ If you can that is the same graph as $\displaystyle \text{Im}(z)=2\text{Re}(z)-2$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. raising complex numbers to complex exponents?
    Posted in the Advanced Math Topics Forum
    Replies: 10
    Last Post: Mar 25th 2011, 10:02 PM
  2. Replies: 1
    Last Post: Sep 27th 2010, 03:14 PM
  3. Complex numbers, set of points satisfying an equality
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: Sep 1st 2009, 07:39 PM
  4. Replies: 2
    Last Post: Feb 7th 2009, 06:12 PM
  5. Replies: 1
    Last Post: May 24th 2007, 03:49 AM

Search Tags


/mathhelpforum @mathhelpforum