QJEEAdv07Ma2e19: JEE Advanced 2007 Mathematics - Class 12 JEEAdv07Ma2e19 Solution: Consider the following linear equations Match the…

Match the conditions/expressions in Column $I$ with statements in Column $II$ and indicate your answer by darkening the appropriate bubbles in the $4 \times 4$ matrix given in the $ORS.$

$\,\,\,$ Column $I$
(A) $\,\,a + b + c \ne 0$ and ${a^2} + {b^2} + {c^2} = ab + bc + ca$
(B) $\,\,$ $a + b + c = 0$ and ${a^2} + {b^2} + {c^2} \ne ab + bc + ca$
(C) $\,\,a + b + c \ne 0$ and ${a^2} + {b^2} + {c^2} \ne ab + bc + ca$
(D) $\,\,$ $a + b + c = 0$ and ${a^2} + {b^2} + {c^2} = ab + bc + ca$

$\,\,\,$ Column $II$
(p) $\,\,\,$ the equations represents planes meeting only at asingle point
(q) $\,\,\,$ the equations represents the line $x=y=z.$
(r) $\,\,\,$ the equations represent identical planes.
(s) $\,\,\,$ the equations represents the whole of the three dimensional space.