Let z be a complex number such that |z|=1. If \frac{2+k^2 z}{k+\overline{z}}=k z, k \in {R}, then the maximum distance of k+i k^2 from the circle |z-(1+2 i)|=1 is [2 Apr 2025 Shift 1]

JEE Main 2 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 19 of 75

Marks: +1, -0

Let z be a complex number such that |z|=1. If ‌

2+k2z

k+z

=kz,k∈R, then the maximum distance of k+ik2 from the circle |z−(1+2i)|=1 is

[2 Apr 2025 Shift 1]

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