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For any complex number z, the minimum value of |z|+|z2i| is

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By Expert Faculty of Sri Chaitanya
a
0
b
1
c
2
d
none of these
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detailed solution

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 is attained when z =i.


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