The solution of the equation

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

Problem

The solution of the equation ∣z∣−z=1+2i|z|-z=1+2i, where i=−1i=\sqrt{-1}, is (1) 2−32i2-\frac{3}{2}i (2) 32+2i\frac{3}{2}+2i (3) 32−2i\frac{3}{2}-2i (4) −2+32i-2+\frac{3}{2}i

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