JEE Main 2019 · 8 April · Shift II

JEE Main 2019 Mathematics question on Complex Numbers and Quadratic Equations

If z=32+i2z = \dfrac{\sqrt{3}}{2} + \dfrac{i}{2} (i=−1)\left(i = \sqrt{-1}\right), then (1+iz+z5+iz8)9(1 + iz + z^5 + iz^8)^9 is equal to
  1. A.
    1
  2. B.
    (−1+2i)9(-1 + 2i)^9
  3. C.
    −1-1
  4. D.
    0
Show answer

Correct option: C

[JEE Main 2019 · 8 April · Shift II]

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