(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

If arg(z-1)=arg(z+1)=[itex]\frac{3 \pi}{4}[/itex], find the locus of z.

2. Relevant equations

3. The attempt at a solution

arg(z-1)=arg(z-[1+0i]) => z lies on half the line through the point (1,0) excluding (1,0), inclined at alpha

Similarly arg(z+1) =>z lies on half the line through (-1,0),excluding (-1,0).Inclined at beta.

If I draw those two on the same graph, they form a triangle. But how do I incorporate the 3pi/4 ?

or was I supposed to draw arg(z-1)=3pi/4?

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# Homework Help: Loci for complez numbers

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