JEE Advanced Mathematics question
If the system of linear equations
\begin{cases}x+2ay+az=0\\x+3by+bz=0\\x+4cy+cz=0\end{cases}
has a nonzero solution then
Answer: (B)
Solution
A non-trivial solution exists iff the determinant is zero. Apply and :
==(3b-2a)(c-a)-(b-a)(4c-2a).
Expanding:
3bc-3ab-2ac+2
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