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NDA2023MathematicsComplex NumberActual

If z= 1+ i 3 1- i 3 where i= -1 , then what is the argument of z ?

Options

  1. A3
  2. B2 3
  3. C4 3
  4. D5 6

Correct answer

B. 2 3

Step-by-step solution

z= 1+ 3 i 1- 3 i = 1+ 3 i 1- 3 i 1+ 3 i 1+ 3 i = (1+ 3 i)^2 1+3 z= 1-3+2 3 i 4 z= -1 2 + 3 2 i= 2 3 +i 2 3 (z)= 2 3

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