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MathsJEE Main 23 Jan 2026, Shift 2·Q17·MCQ·Easy–moderate

Complex Numbers · Powers in polar form

If z=32+i2z = \dfrac{\sqrt3}{2} + \dfrac{i}{2}, i=−1i = \sqrt{-1}, then (z201−i)8(z^{201} - i)^8 is equal to
  1. (1)−1-1
  2. (2)0
  3. (3)1
  4. (4)256

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See the full 23 Jan 2026, Shift 2 paper