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AP EAMCET202125 Aug 2021Morning ShiftMathematicsComplex NumberActual

The value of i²²- ( 1 i )³⁵ ^2 is

Options

  1. A2 i
  2. Bi
  3. C-i
  4. D-2 i

Correct answer

A. 2 i

Step-by-step solution

array lr We have, (i²²- ( 1 i )³⁵ )^2 & =(-1-i)^2 & [ i²²=i²⁰ i^2=- ] =(-1)^2+(-i)^2+2 i & [ 1 i³⁵ = i i³⁶ =i ] =1-1+2 i=2 i & array

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