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AP EAMCET202318 May 2023Evening ShiftMathematicsComplex NumberActual

If -3+i x^2 y and x^2+y+4 i are complex conjugates, then x =

Options

  1. A0
  2. B1
  3. C3
  4. D4

Correct answer

B. 1

Step-by-step solution

-3+ ix ^2 y and ( x ^2+ y +4 i ) are complex conjugate. Then, -3-i x^2 y=x^2+y+4 i Comparing both sides we get:- aligned & x^2+y=-3 ......(i) & -x^2 y=4.......(ii) aligned Solving eqs. (i) & (ii), we get x= 1

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