A) 4
B) 1
C) 3
D) 2
Correct Answer: D
Solution :
The given system of equations will be consistent with unique solution, when \[\left| \begin{matrix} 1 & 1 & 1 \\ 1 & 2 & 3 \\ 1 & 4 & k \\ \end{matrix} \right|\ne 0\] \[\Rightarrow \] \[1\left( 2k-12 \right)+1\left( 3-k \right)+1\left( 4-2 \right)\ne 0\] \[\Rightarrow \] \[k-12+3+2\ne 0\] \[\Rightarrow \] \[k-7\ne 0\] \[\Rightarrow \] \[k\ne 7\]You need to login to perform this action.
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