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AP EAMCET201923 Apr 2019Morning ShiftMathematicsComplex NumberActual

For a complex number (Z=a+i b ), let ( Z ) (=b+i a ). If (Z₁, Z₂ ) are such complex numbers, then ( Z ₁ Z ₂ = )

Options

  1. A( Z ₁ Z ₂ )
  2. B( Z ₁ Z ₂ )
  3. C( Z ₁ Z ₂ )
  4. D( z ₁ Z₂ )

Correct answer

C. ( Z ₁ Z ₂ )

Step-by-step solution

For given complex number (Z=a+i b ), it is given that ( Z =b+i a ) Let (Z₁=a+i b ) and (Z₂=c+i d ) Then, (Z₁ Z₂=(a c-b d)+i(a d+c b) ) Hence, option (c) is correct.

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