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Question

If |z2+i|2,then find the least value of |z|

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Solution

Given:|z2+i|2 .......(1)
|z2+i|||z||2i||
|z2+i||z|5 ......(2)
From (1) and (2)
|z|5|z2+i|2
|z|52
2|z|52
52|z|5+2
Hence the least value of |z| is 52


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