Consider the following linear equations
`ax+by+cz=0,bx+cy+az=0,cx+ay+bz=0`

Consider the following linear equations ax+by+cz=0,bx+cy+za=0 , cx+ay+bz=0 match the column

Consider the linear equations ax+by+cz=0, bx+cy+az=0 and cx+ay+bz=0 . Match the conditions/expressions in Column I with statements in Column II.

Consider the linear equations ax+by+cz=0, bx+cy+az=0 and cx+ay+bz=0 . Match the conditions/expressions in Column I with statements in Column II.

Consider the linear equations ax +by+cz=0,bx+cy+az=0 and cx+ay+bz=0

If a,b,c in R and a+b+c=0 and th esystem of equations ax+by+cz=0,bx+cy+az=0,cx+ay+bz=0 has a non-zero solution,then a:b:c is given by

If a gt b gt c and the system of equtions ax +by +cz =0 , bx +cy+az=0 , cx+ay+bz=0 has a non-trivial solution then both the roots of the quadratic equation at^(2)+bt+c are

If a gt b gt c and the system of equtions ax +by +cz =0 , bx +cy+az=0 , cx+ay+bz=0 has a non-trivial solution then both the roots of the quadratic equation at^(2)+bt+c are

If a gt b gt c and the system of equtions ax +by +cz =0,n bx +cy+az=0,cx+ay+bz=0 has a non-trivial solution then both the roots of the equadratic equation at^(2)+bt+c are