The equation \(\arg \left( {\frac{{z - 1}}{{z + 1}}} \right) = \frac{\pi }{4}\) represents a circle with:

1
centre at (0, 0) and radius √2  
2
centre at (0, 1) and radius 2
3
centre at (0, 1) and radius √2 
4
centre at (0, -1) and radius √2 

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