If area of the region on complex plane given by complex number \( z \), such that \( \frac{\pi}{...

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If area of the region on complex plane given by complex number \( z \), such that \( \frac{\pi}{4} \leq \arg \left(\frac{z-2}{z+2}\right) \leq \frac{3 \pi}{4} \) is \( a \pi+b \) then \( (b-a) \) equals
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