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Q)

If $z,\omega$ are complex numbers such that $\overline z+i\omega=0$, then the $arg \:z=?$

$\begin{array}{1 1}(A) \;\large\frac{\pi}{6}\\(B)\;-\large\frac{\pi}{6}\\(C)\;\large\frac{\pi}{3}\\(D)\;-\large\frac{\pi}{3}\end{array}$

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