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Let z be a complex number such that |z| = 1. If z k z k 2 2 + + = kz, k ∈ R, then the maximum distance of k + ik 2 from the circle |z – (1 + 2i)| = 1 is :

1. 5 + 1
2. 3
3. 3 + 1
4. 2

Correct answer: 5 + 1

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