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AP EAMCET202017 Sep 2020Morning ShiftMathematicsComplex NumberActual

If (a+b i= i 1-i ), then ((a, b)= )

Options

  1. A( ( -1 2 , -1 2 ) )
  2. B( ( 1 2 , 1 2 ) )
  3. C( ( 1 2 , -1 2 ) )
  4. D( ( -1 2 , 1 2 ) )

Correct answer

D. ( ( -1 2 , 1 2 ) )

Step-by-step solution

( aligned & a+b i= i 1-i & a+b i= i(1+i) 2 =- 1 2 + i 2 & a=- 1 2 , b= 1 2 aligned )

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