For \(0 < c < b < a\), let \((a + b - 2c)x^{2} + (b + c - 2a)x +\) \((c + a - 2b) = 0\) and \(\alpha \neq 1\) be one of its root. Then, among the two statements\\ (I) If \(\alpha \in ( - 1,0)\), then \(b\) cannot be the geometric mean of \(a\) and \(c\)\\ (II) If \(\alpha \in (0,1)\), then \(b\) may be the geometric mean of \(a\) and \(c\)\\