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**1. The problem statement, all variables and given/known data**

Sketch the locus of points in the argand diagram defined by z:

arg (z-1) - arg(z+1) = ∏/4

**2. Relevant equations**

**3. The attempt at a solution**

By simple geometry i worked out that at a point in the x-y plane, the angle subtended from that point to -1 and 1 must be = pi/4.

For a circle I know this must be = pi/2. But for pi/4 I have no clue..