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BITSAT Mathematics Complex Number 2023 BITSAT 2023 (Memory Based Paper 1)

BITSAT Mathematics Question (2023) — Solution

Question

i^ 57 + 1 i^ 25 , when simplified has the value

Options

  1. A. 0
  2. B. 2 i
  3. C. -2 i
  4. D. 2

Answer

A. 0

Step-by-step solution

i^ 57 + 1 i^ 25 = (i^4 )^ 14 . i+ 1 (i^4 )^6 .i =i+ 1 i =i-i=0

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