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If a , b , c are non-zero, then the syst...

If `a , b , c` are non-zero, then the system of equations `(alpha+a)x+alphay+alphaz=0,alphax+(alpha+b)y+alphaz=0,alphax+alphay+(alpha+c)z=0' has a non-trivial solution if `alpha^(-1)=`(A) ` -(a^(-1)+b^(-1)+c^(-1))` (B) `a+b+c` (C) `alpha+a+b+c=1` (D) none of these

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