A) \[-1\]
B) \[0\]
C) \[1\]
D) \[2\]
Correct Answer: A
Solution :
Since, given equations have a non-trivial solution \[\therefore \] \[\Delta =0\] \[\Rightarrow \] \[\left| \begin{matrix} 1 & 3 & \lambda \\ 2 & 4 & -1 \\ 1 & 5 & -2 \\ \end{matrix} \right|=0\] \[\Rightarrow \] \[1(-8+5)-3(-4+1)+\lambda (10-4)=0\] \[\Rightarrow \] \[-3+9+6\lambda =0\] \[\Rightarrow \] \[6\lambda =-6\] \[\Rightarrow \] \[\lambda =-1\]You need to login to perform this action.
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