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MHT CET20225 Aug 2022Evening ShiftMathematicsComplex NumberActual

If (x-i y)(3+5 i) is the conjugate of -6-24 i (where x, y R and i= -1 ) , then the value of x and y are respectively

Options

  1. A5,3
  2. B5,-3
  3. C-3,3
  4. D3,-3

Correct answer

D. 3,-3

Step-by-step solution

aligned & (x-i y)(3+5 i)=-6+24 i & (3 x+5 y)+(5 x+3 y) i=-6+24 i & 3 x+5 y=-6 and 5 x-3 y=24 aligned Solving we get x=3 and y=-3

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