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AP EAMCET202317 May 2023Evening ShiftMathematicsComplex NumberActual

The modulus of the conjugate of z= -2+i (1-2 i)^2 is

Options

  1. A1 5
  2. B1 5
  3. C1 25
  4. D5

Correct answer

B. 1 5

Step-by-step solution

z= -2+i (1-2 i)^2 aligned & z= i-2 1-4-4 i = i-2 -3-4 i = (2-i)(3-4 i) (3+4 i)(3-4 i) & z= 2-11 i 25 Then, z = 2+11 i 25 & | z |= | 2 25 + 11 25 i |= 4 625 + 121 625 = 125 625 = 1 5 & | z |= 1 5 aligned

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