A) \[\lambda =5\]
B) \[\lambda =-5\]
C) \[\lambda \ne \pm 5\]
D) None of these
Correct Answer: A
Solution :
If given system of equations have infinitely many solutions, then \[\left| \begin{matrix} 2 & -1 & 1 \\ 1 & -2 & 1 \\ \lambda & -1 & 2 \\ \end{matrix} \right|=0\] \[\Rightarrow \] \[2(-4+1)+1(2-\lambda )+1(-1+2\lambda )=0\] \[\Rightarrow \] \[-6+2-\lambda -1+2\lambda =0\] \[\Rightarrow \] \[\lambda -5=0\] \[\Rightarrow \] \[\lambda =5\]You need to login to perform this action.
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