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COMEDK2020MathematicsComplex Number

The conjugate of the complex number (1+i)² 1-i is

Options

  1. A1+i
  2. B1-i
  3. C-1-i
  4. D-1+i

Correct answer

C. -1-i

Step-by-step solution

Let Z= (1+i)² 1-i = 1+i²+2 i 1-i = 2 i 1-i 1+i 1+i = 2 i+2 i² 1-i² = 2 i-2 1+1 = 2 i-2 2 =-1+i

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