Question: If the given system a x + b y + c z = 0 ; b x + c y + a z = 0

If the given system
ax+by+cz=0;bx+cy+az=0;cx+ay+bz=0 has non-trivial solution, then which of the following is true?
-a+b+c=0ora=-b=-c
a+b+c=0ora=b=c
a+b-c=0ora=-b=c
a-b+c=0ora=b=-c
If the given system ax+by+cz=0;bx+cy+az=0;cx+ay+bz=0 has non-trivial solution, then which of

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