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BITSAT2014MathematicsComplex NumberActual

i⁵⁷+ 1 i²⁵ , when simplified has the value

Options

  1. A0
  2. B2 i
  3. C-2 i
  4. D2

Correct answer

A. 0

Step-by-step solution

aligned i⁵⁷+ 1 i²⁵ = (i⁴ )¹⁴ i &+ 1 (i⁴ )⁶ i =i+ 1 i ( i⁴=1 ) &=i-i ( 1 i =-i ) &=0 aligned

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