Consider the following system of equations :ax+by+cz=0az+bx+cy=0ay+bz+cx=0 List - I List - II(I)If a+b+c≠0 and (P) Planes meet only at one point(a−b)2+(b−c)2+(c−a)2=0.(II)If a+b+c=0 and (Q) Equations represent the line x=y=z(a−b)2+(b−c)2+(c−a)2≠0(III) If a+b+c≠0 and (R) Equations represent identical planes(a−b)2+(b−c)2+(c−a)2≠0(IV)If a+b+c=0 and (S) The solution of the system represents (a−b)2+(b−c)2+(c−a)2=0 whole of the three dimensional space Which of the following is the "INCORRECT" option?

Consider the following system of equations :ax+by+cz=0az+bx+cy=0ay+bz+

1.	Consider the following system of equations :ax+by+cz=0az+bx+cy=0ay+bz+cx=0 List - I List - II(I)If a+b+c≠0 and (P) Planes meet only at one point(a−b)2+(b−c)2+(c−a)2=0.(II)If a+b+c=0 and (Q) Equations represent the line x=y=z(a−b)2+(b−c)2+(c−a)2≠0(III) If a+b+c≠0 and (R) Equations represent identical planes(a−b)2+(b−c)2+(c−a)2≠0(IV)If a+b+c=0 and (S) The solution of the system represents (a−b)2+(b−c)2+(c−a)2=0 whole of the three dimensional space Which of the following is the "INCORRECT" option?
Answer» Consider the following system of equations : $a x + b y + c z = 0 a z + b x + c y = 0 a y + b z + c x = 0$ $\begin{matrix} List - I & List - II (I) & If a + b + c \neq 0 and & (P) & Planes meet only at one point (a - b)^{2} + (b - c)^{2} + (c - a)^{2} = 0 . (II) & If a + b + c = 0 and & (Q) & Equations represent the line x = y = z (a - b)^{2} + (b - c)^{2} + (c - a)^{2} \neq 0 (III) & If a + b + c \neq 0 and & (R) & Equations represent identical planes (a - b)^{2} + (b - c)^{2} + (c - a)^{2} \neq 0 (IV) & If a + b + c = 0 and & (S) & The solution of the system represents (a - b)^{2} + (b - c)^{2} + (c - a)^{2} = 0 & whole of the three dimensional space \end{matrix}$ Which of the following is the "INCORRECT" option?