If α, β, γ are the cube roots of a negative number p, then for any three real numbers x…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If α, β, γ are the cube roots of a negative number p, then for any three real numbers x, y, z the value of \(\frac{x \alpha+y \beta+z \gamma}{x \beta+y \gamma+z \alpha}\) is
- \(\frac{1-i \sqrt{3}}{2}\)
- \(\frac{-1-\mathrm{i} \sqrt{3}}{2}\)
- (x + y + z) i
- π
Answer
(B) -1- i 3 2
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