If and are two non-zero complex numbers such that and

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If zz and ww are two non-zero complex numbers such that ∣z∣=∣w∣|z| = |w| and arg⁡(z)+arg⁡(w)=π\arg(z) + \arg(w) = \pi , prove that z=−wz = -w .

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