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AP EAMCET202315 May 2023Evening ShiftMathematicsComplex NumberActual

If |z- 2 z |=2 , then the greatest value of |z| is

Options

  1. A3 -1
  2. B3
  3. C3 +1
  4. D3 +2

Correct answer

C. 3 +1

Step-by-step solution

aligned & Given |z- 2 z |=2 & || z |- 2 |z| | |z- 2 z |=2 & |z|- 2 |z| 2 |z|^2-2|z|-2 0 & |z| 1 4+8 2 1+ 3 aligned So value of |z|= 3 +1

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