If \( x, y, z \) are positive real number and \( a, b, c \) are rational numbers, then the value...

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If \( x, y, z \) are positive real number and \( a, b, c \) are rational numbers, then the value of \( \frac{1}{1+x^{b-a}+x^{c-a}}+\frac{1}{1+x^{a-b}+x^{c-b}}+ \) \( \frac{1}{1+x^{b-c}+x^{a-c}} \) is
(a) -1
(b) 1
(c) 0
(d) 2
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