CBSE

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

Problem

The set {Re⁡(2iz1−z2):z is a complex number, ∣z∣=1, z≠±1}\left\{\operatorname{Re}\left(\frac{2iz}{1-z^2}\right): z\text{ is a complex number},\ |z|=1,\ z\ne\pm1\right\} is (1) (−∞,−1]∪[1,∞)(-\infty,-1]\cup[1,\infty) (2) (−∞,0)∪(0,∞)(-\infty,0)\cup(0,\infty) (3) (−∞,−1)∪(1,∞)(-\infty,-1)\cup(1,\infty) (4) [2,∞)[2,\infty)

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