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  4. If arg (z)<0, then arg (-z)- arg (z)=

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Q. If $\arg (z)<0$, then $\arg (-z)-\arg (z)=$

Complex Numbers and Quadratic Equations

Solution:

$-\theta=\arg (z) < 0$
$\arg (-z)=\pi-\theta$
$\Rightarrow \arg (- z )-\arg ( z )=\pi-\theta-(-\theta)=\pi$