Grade 11Analytical Geometry
let z be a complex number such that |z|=5 .Find the maximum value of |z+3+4i|
let z be a complex number such that |z|=5 .Find the maximum value of |z+3+4i|
1 Answer
Arun
We know from triangle inequality that|z+3+4i|‹=|z|+ |3+4i|Hence |z+3+4i|‹= 5 + 5|z+3+4i|‹= 10Hence maximum value of |z+3+4i| will be 10
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