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Question

If z1=24+7i and |z2|=6 then |z1+z2| lies in
  1. [13,37]
  2. [19,31]
  3. [12,25]
  4. [6,25]


Solution

The correct option is B [19,31]
Given,z1=24+7i|z1|=242+72=25
and |z2|=6
We know that
||z1||z2|||z1+z2||z1|+|z2||256||z1+z2|25+619|z1+z2|31

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