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Complex Numbers question

2025 · 2 Apr · Shift 1 · Q34

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JEE Main
Mathematics
Complex Numbers
2025 · 2 Apr · Shift 1 · Q34

Complex Numbers question

2025 · 2 Apr · Shift 1 · Q34

JEE MainMathematicsComplex NumbersMCQ+4 / −1

Let

z

be a complex number such that

|z|=1

. If

\frac{2+\mathrm{k}^2 z}{\mathrm{k}+\bar{z}}=\mathrm{k} z, \mathrm{k} \in \mathbf{R}

, then the maximum distance of

\mathrm{k}+i \mathrm{k}^2

from the circle

|z-(1+2 i)|=1

is :

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

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