If a,b,c are non - zero real numbers and if the system of equations
(a−1)x=y+z
(b−1)y=x+z
(c−1)z=x+y
has a non - trivial solution, then ab+bc+ca equals :
Held on 9 Apr 2014 · Verified 6 Jul 2026.
−1
a+b+c
abc
1
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