If , the greatest value of…

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

Problem

If ∣z−4z∣=2\left|z-\frac{4}{z}\right|=2, the greatest value of ∣z∣|z| is (1) 5−1\sqrt{5}-1 (2) 3+1\sqrt{3}+1 (3) 5+1\sqrt{5}+1 (4) 3−1\sqrt{3}-1

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