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AP EAMCET202422 May 2024Evening ShiftMathematicsComplex NumberActual

Arg [ (1+i 3 )(- 3 -i) (1-i)(-i) ]=

Options

  1. A5 6
  2. B4
  3. C2 3
  4. D- 2

Correct answer

B. 4

Step-by-step solution

aligned & Let z= [ (1+i 3 )(- 3 -i) (1-i)(-i) ] = & [ - 3 -i-3 i+ 3 -i-1 ]= 4 i 1+i 1-i 1-i =2+2 i aligned Arg (z) lies in I^ st quadrant = 2 2 =1 =n + 4 For I^ st quadrant put n=0, (z)= 4

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