A) Not - 2
B) 1
C) - 2
D) Either - 2 or 1
Correct Answer: C
Solution :
For no solution or infinitely many solutions\[\left| \,\begin{matrix} \alpha & 1 & 1 \\ 1 & \alpha & 1 \\ 1 & 1 & \alpha \\ \end{matrix}\, \right|=0\Rightarrow \alpha =1,\alpha =-2\]. But for\[\alpha =1\], clearly there are infinitely many solutions and when we put \[\alpha =-2\] in given system of equations and adding them together L.H.S \[\ne \] R.H.S. i.e., No solution.You need to login to perform this action.
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