If the system of equations \( x=c y+b z, y=a z+c x \) and \( z=b x+...

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If the system of equations \( x=c y+b z, y=a z+c x \) and \( z=b x+a y \) has a non-trival solution, then value of \( a^{2}+b^{2}+c^{2}+2 a b c \) is
(a) 1
(b) 0
(c) \( -1 \)
(d) independent of \( a, b, c \)
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