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AP EAMCET2005MathematicsComplex Number

If ₁, ₂, ₃ respectively denote the moduli of the complex number -i, 1 3 (1+i) and -1+i , then their increasing order is

Options

  1. A₁, ₂,
  2. B₃, ₂, ₁
  3. C₂, ₁, ₃
  4. D₃, ₁, ₂

Correct answer

C. ₂, ₁, ₃

Step-by-step solution

Given that aligned & ₁=|-i|=1 & ₂= | 1 3 (1+i) |= 1 3 2 & ₃=|-1+i|= 2 aligned The increasing order is ₂, ₁, ₃ .

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