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Complex Numbers question

2003 · Shift 0 · Q99
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Complex Numbers question

2003 · Shift 0 · Q99

JEE MainMathematicsComplex NumbersMCQ+4 / −1
If (1+i1−i)x=1{\left( {{{1 + i} \over {1 - i}}} \right)^x} = 1(1−i1+i​)x=1 then :
  1. A
    x = 2n + 1, where n is any positive integer
  2. B
    x = 4n , where n is any positive integer
  3. C
    x = 2n, where n is any positive integer
  4. D
    x = 4n + 1, where n is any positive integer.
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