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BITSAT2023MathematicsComplex NumberActual

The modulus of (1+i 3 )(2+2 i) ( 3 -i) is

Options

  1. A2
  2. B4
  3. C3 2
  4. D2 2

Correct answer

D. 2 2

Step-by-step solution

aligned & (1+i 3 )(2+2 i) 3 -i = 2+2 3 i+2 i-2 3 3 -i & = (2-2 3 )+(2 3 +2) i 3 -i 3 +i 3 +i & = 2 3 -6+2 i-2 3 i+6 i+2 3 i-2 3 -2 3+1 & = 8 i-8 4 =-2+2 i & Modulus = (-2)^2+(2)^2 =2 2 aligned

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