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AP EAMCET20227 Jul 2022Evening ShiftMathematicsComplex NumberActual

(1+i) x-2 i 3+i + (2-3 i) y 3-i =i x+y=

Options

  1. A49/23
  2. B1
  3. C-2
  4. D2

Correct answer

A. 49/23

Step-by-step solution

aligned & (1+i) x-2 i 3+i + (2-3 i) y 3-i =i & ((1+i) x-2 i)(3-i)+((2-3 i) y)(3+i)=10 i & (x+i x-2 i)(3-i)+(2 y-3 i y)(3+i)=10 i & 3 x+3 i x-6 i-i x+x-2 & +6 y-9 i y+2 i y+3 y=10 i & (3 x+x-2+6 y+3 y)+ & 4 x+9 y-2=0,2 x-7 y-16=0 & y= -30 23 , x= 79 23 . & x+y= 79 23 - 30 23 = 49 23 aligned

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