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AP EAMCET202421 May 2024Evening ShiftMathematicsComplex NumberActual

If n is an integer and Z= +i , (2 n+1) 2 , then 1+Z^ 2 n 1-Z^ 2 n =

Options

  1. Ai n
  2. Bi n
  3. C-i n
  4. D-i n

Correct answer

B. i n

Step-by-step solution

Z= +i aligned & 1+Z^ 2 n 1-Z^ 2 n = 1+( +i )^ 2 n 1-( +i )^ 2 n = 1+ 2 n +i 2 n 1- 2 n -i 2 n & = n i n ( n +i n - n -i n )=i n aligned

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