If \( \alpha, \beta \) and \( \gamma \) are the cube roots of \( p(p0) \), then for any \( x, y ...

If \( \alpha, \beta \) and \( \gamma \) are the cube roots of \( p(p0) \), then for any \( x, y \) and \( z, \frac{x \alpha+y \beta+z \gamma}{x \beta+y \gamma+z \alpha} \) is equal to
(a) \( \frac{1}{2}(-1-i \sqrt{3}), i=\sqrt{-1} \)
(b) \( \frac{1}{2}(1+i \sqrt{3}), i=\sqrt{-1} \)
(c) \( \frac{1}{2}(1-i \sqrt{3}), i=\sqrt{-1} \)
(d) None of these