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KCET2007MathematicsComplex 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

B. 1+i

Step-by-step solution

Given complex number is (1+i)² 1-i = (1+i²+2 i ) 1+i 1+i 1+i = 2 i(1+i) 1-i² = 2 i+2 i² 1-i² = 2 i-2 2 =i-1 Required conjugate is 1-i

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