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For any complex number $z,$ the minimum value of $| z | + | z - 2 i |$ is

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Correct option is C

We have, for z ∈ C|2i|=|z+(2i−z)|≤|z|+|2i−z|⇒ 2≤|z|+|z−2i|Thus, minimum value of |z|+|z−2i| is 2 and it it attained when z = i.

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For any complex number z, the minimum value of |z|+|z−2i| is

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For any complex number $z,$ the minimum value of $| z | + | z - 2 i |$ is