If and are two non-zero complex numbers such that

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If z1z_1 and z2z_2 are two non-zero complex numbers such that ∣z1+z2∣=∣z1∣+∣z2∣|z_1+z_2|=|z_1|+|z_2|, then arg⁡(z1)−arg⁡(z2)\arg(z_1)-\arg(z_2) is equal to (1) −π-\pi (2) −π2-\frac{\pi}{2} (3) π2\frac{\pi}{2} (4) 00

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