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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If arg⁡(z−1z+1)=π4\arg \left(\frac{z-1}{z+1}\right)=\frac{\pi}{4}, then the locus of zz is
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Correct option: B
A circle
Option B (A circle) is correct because the given condition leads to the equation of a circle when zz is expressed as x+iyx+iy.

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