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AP EAMCET20226 Jul 2022Morning ShiftMathematicsComplex NumberActual

If (x+i y)= ( 1+i 1-i )^3- ( 1-i 1+i )^3 , then the true statement among the following is

Options

  1. Ax < y
  2. Bx>y
  3. Cx 0
  4. Dx=y

Correct answer

B. x>y

Step-by-step solution

Given ( x + iy )= ( 1+ i 1- i )^3- ( 1- i 1+ i )^3 aligned & x-i y= ( 1+i 1-i 1+i 1+i )- ( 1-i 1+i 1-i 1+i ) & = 1 8 [-8 i-8 i] & =-2 i & x+i y=0+(-2) i & x>y aligned

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