JEE Advanced Mathematics question
Consider the following linear equations
\begin{cases} ax + by + cz = 0\\ bx + cy + az = 0\\ cx + ay + bz = 0\end{cases}
Match the conditions/expressions in **Column I** with statements in **Column II**. given in the ORS. Column I: (A) and (B) and (C) and (D) and Column II: (p) the equations represent planes meeting only at a single point. (q) the equations represent the line . (r) the equations represent identical planes. (s) the equations represent the whole of the three dimensional space.
Answer: (3)
Solution
Δ = = (a + b + c) = (a + b + c)(ab + bc + ca - - - ,
and , which is iff .
- (A) $a = b
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