Math Is Fun Forum

bossk171

Member

Registered: 2007-07-16

Posts: 305

Complex Analysis

I've spent far too much time with this one:

Describe geometrically the sets of points z in the complex plane defined by the following relation:

Re(az+b) > 0 (where a and b are complex)

I have a line with a slope of Re(a)/Im(a) and a y-intercept of Re(b)/Im(a). So what?

Any help would be great.

Thanks.

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There are 10 types of people in the world, those who understand binary, those who don't, and those who can use induction.

Kurre

Member

Registered: 2006-07-18

Posts: 280

Re: Complex Analysis

the +b is just a translation, the hard part is the az. Try polar coordinates.

Last edited by Kurre (2009-12-29 10:17:19)