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MHT CET202310 May 2023Evening ShiftMathematicsComplex NumberActual

The argument of 1+i 3 3 +i , i= -1 is

Options

  1. A3
  2. B4
  3. C6
  4. D2

Correct answer

C. 6

Step-by-step solution

aligned & Let z= 1+i 3 3 +i = & (1+i 3 )( 3 -i) ( 3 +i)( 3 -i) z & = 3 2 + 1 2 i aligned Argument of aligned z & = ⁻¹ ( b a ) & = ⁻¹ ( 1 2 3 2 ) & = ⁻¹ ( 1 3 ) & = 6 aligned

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