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AP EAMCET202419 May 2024Evening ShiftMathematicsComplex NumberActual

Real part of ( a+i a)^6 ( b+i b)^8 is

Options

  1. A(6 a-8 b)
  2. B(6 a-8 b)
  3. C(6 a+8 b)
  4. D(6 a+8 b)

Correct answer

D. (6 a+8 b)

Step-by-step solution

Since, ( a+i a)^6 ( b+i b)^8 = (e^ i a )^6 ( b-i b)^8 = e^ i 6 a (e^ -i b )^8 =e^ i(6 a+8 b) = (6 a+8 b)+i (6 a+8 b) So, real part = (6 a+8 b) .

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