Complex Number Circle Distance (Jee Mains)

Geometry and Locus of Complex Numbers

Medium

Complex Number Circle Distance

Let z be a complex number such that $\left| z \right| = 1$ . If $\frac{{2 + {k^2}z}}{{k + \bar z}}$ = kz, k ∈ R, then the maximum distance of k + ik² from the circle |z –(1 + 2 i)| = 1 is:

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