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If a , b , c are non-zero real numbers ...

If `a , b , c` are non-zero real numbers and if the system of equations `(a-1)x=y+z` `(b-1)y=z+x` `(c-1)z=x+y` has a non-trivial solution, then `ab+bc+ca` equals to (A) `abc` (B) `a^2 - b^2 + c^2` (C) `a+b -c` (D) None of these

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