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AP EAMCET202022 Sep 2020Evening ShiftMathematicsComplex NumberActual

( 2 +i 2 ) ( 4 +i 4 ) ( 8 +i 8 ) =

Options

  1. A1
  2. B0
  3. C–1
  4. D2

Correct answer

C. –1

Step-by-step solution

aligned & ( 2 +i 2 ) ( 4 +i 4 ) & ( 8 +i 8 ) & e^ i 2 e^ i 4 e^ i 8 & e^ i( / 2+ / 4+ / 8+ ) & =e^ i ( 2 1- 1 2 ) [ array l 2 + 4 + 8 + in GP a= 4 , r= 1 2 S_ = a 1-r array ] & =e^ i( ) = +i =-1+i .0=-1 & aligned Hence, option (3) is correct.

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