A) 1
B) 2
C) 3
D) 5
Correct Answer: D
Solution :
The system of equations has infinitely many (non-trivial) solution, if \[\Delta =0\] i.e., if \[\left| \,\begin{matrix} 3 & -2 & 1 \\ \lambda & -14 & 15 \\ 1 & 2 & -3 \\ \end{matrix}\, \right|=0\] Þ \[3(42-30)-\lambda (6-2)+1(-30+14)=0\]Þ \[\lambda =5\] .You need to login to perform this action.
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