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Manipal MET2019MathematicsComplex Number

If z= -2 1+ 3 i , then the value of (z) is

Options

  1. A3
  2. B2 3
  3. C4

Correct answer

C. 4

Step-by-step solution

Given that, z= -2 1+ 3 i 1- 3 i 1- 3 i aligned & =- ( 1-i 3 2 )=- 1 2 + i 3 2 & = ⁻¹ ( y x )= ⁻¹ ( 3 2 2 ) & = ⁻¹( 3 )= 3 aligned (z)= - = - 3 = 2 3 .

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