Complex Numbers and Quadratic Equations: JEE Mains 2022 June 29 Shift 2

Hard· Argand plane and polar form· +4 / −1
Let arg⁡(z)\arg(z) represent the principal argument of the complex number zz. Then, ∣z∣=3|z|=3 and arg⁡(z−1)−arg⁡(z+1)=π4\arg(z-1)-\arg(z+1)=\dfrac\pi4 intersect :
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