Length of the curved line traced by the point represented by \( z \), when \( \arg \left(\frac{z....

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Length of the curved line traced by the point
\( \mathrm{P} \)
represented by \( z \), when \( \arg \left(\frac{z-1}{z+1}\right)=\frac{\pi}{4} \), is
(1) \( 2 \sqrt{2} \pi \)
(2) \( \sqrt{2} \pi \)
(3) \( \frac{\pi}{\sqrt{2}} \)
(4) None of these


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