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MathsJEE Main 6 Apr 2026, Shift 2·Q3·MCQ·Easy–moderate

Complex Numbers · Roots and powers of complex numbers

Let S={z∈C:z2+6 iz−3=0}S = \left\{z \in \mathbb{C} : z^2 + \sqrt6\,iz - 3 = 0\right\}. Then ∑z∈Sz8\displaystyle\sum_{z\in S} z^8 is equal to:
  1. (1)162
  2. (2)184
  3. (3)262
  4. (4)324

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