Q.

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

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By Expert Faculty of Sri Chaitanya

none of these

answer is 3.

(Detailed Solution Below)

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Detailed Solution

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 is attained when z =i.

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