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Sketch on the argand diagram the locus : $|z-2i+3|=\sqrt2$ I already sketched the diagram now I need to find the maximum and minimum value of $\arg(z+6)$

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  • $\begingroup$ So far so good. If you take your diagram and add $6$ to every $z$, what happens to the circle? $\endgroup$ – Matthew Leingang Oct 11 '17 at 9:29
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hint...draw tangents to the circle from the point $z=-6$ and calculate the angles...

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