Complex numbers question?

S = {z:sqrt(3)|z-2|=|z-2i|}

Let w ∈ S. Suppose Arg(w) ≤ Arg(v) for all v ∈ S. Find |w|

This is part c of a question where a asks to show that S is a circle. Part b asks to sketch the circle. Help please

Update:

Just need help with part c.

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