JEE Math Practice Question
Let $$\mathrm{p,q\in\mathbb{R}}$$ and $${\left( {1 - \sqrt 3 i} \right)^{200}} = {2^{199}}(p + iq),i = \sqrt { - 1} $$ then $$\mathrm{p+q+q^2}$$ and $$\mathrm{p-q+q^2}$$ are roots of the equation.
- A.$${x^2} + 4x - 1 = 0$$
- B.$${x^2} - 4x + 1 = 0$$
- C.$${x^2} + 4x + 1 = 0$$
- D.$${x^2} - 4x - 1 = 0$$
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