# Concyclicity complex numbers

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Determine the set of points $M(m)$ such that $A(-\frac{1}{2}-\frac{1}{2}i)$, $M(m)$, $M_1(-1+im)$ and $M_2(-1-im)$ are concyclic, with $m$ a complex number st $m=e^{i\theta}$ and
$\pi <\theta <\frac{3\pi}{2}$