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Complex Numbers question

2009 · Shift 0 · Q30
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Complex Numbers question

2009 · Shift 0 · Q30

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If  ∣z−4z∣=2,\,\left| {z - {4 \over z}} \right| = 2,​z−z4​​=2, then the maximum value of  ∣z∣\,\left| z \right|∣z∣ is equal to :
  1. A
    5+1\sqrt 5 + 15​+1
  2. B
    2
  3. C
    2+22 + \sqrt 22+2​
  4. D
    3+1\sqrt 3 + 13​+1
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