WBJEE · Maths · Determinants
The value of \(\lambda\) such that the system of equations \(2x-y-2 y=2 ; x-2 y+z=-4\),\(x+y+\lambda z=4,\) has no solution, is
- A 3
- B 1
- C 0
- D -3
Answer & Solution
Correct Answer
(D) -3
Step-by-step Solution
Detailed explanation
If the given system of equations has no solution. then \(\left|\begin{array}{ccc}2 & -1 & -2 \\ 1 & -2 & 1 \\ 1 & 1 & \lambda\end{array}\right|=0\) \(\Rightarrow 2(-2 \lambda-1)+1(\lambda-1)-2(1+2)=0\) \(\Rightarrow \quad-4 \lambda-2+\lambda-1-6=0\)…
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