If and ,…

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

Problem

If ∣z1∣=∣z2∣|z_1|=|z_2| and amp⁡(z1)+amp⁡(z2)=0\operatorname{amp}(z_1)+\operatorname{amp}(z_2)=0, then (1) z1=z2z_1=z_2 (2) z‾1=z2\overline{z}_1=z_2 (3) z1+z2=0z_1+z_2=0 (4) z‾1=z‾2\overline{z}_1=\overline{z}_2

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