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AP EAMCET20228 Jul 2022Evening ShiftMathematicsComplex NumberActual

If |z+ 2 z |=2 , then the maximum value of |z| is

Options

  1. A1 + √3
  2. B1 - √3
  3. C√3
  4. Dinfinity

Correct answer

A. 1 + √3

Step-by-step solution

Given, |z+ 2 z |=2 aligned & |z| 2+ | 2 z | |z|^2-2|z|-2 0 & |z| [0,(1+ 3 )] aligned |Z|_ max =1+ 3

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