Let z be a complex number such that |z| = 1. If (2 + k² z)/(k + z… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 2 April, Shift 1Argand Plane & Geometry

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

A
$\sqrt{5} + 1$
B
$2$
C
$3$
D
$\sqrt{3} + 1$

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