JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
If the system of linear equations, \(x+y+z =6\) ; \(x+2 y+3 z =10\) ; \(3 x+2 y+\lambda z =\mu\) has more two solutions, then \(\mu-\lambda^{2}\) is equal to
- A \(11\)
- B \(12\)
- C \(13\)
- D \(15\)
Answer & Solution
Correct Answer
(C) \(13\)
Step-by-step Solution
Detailed explanation
System has intrinitely many solution \(\Rightarrow\left|\begin{array}{lll}{1} & {1} & {1} \\ {1} & {2} & {3} \\ {3} & {2} & {\lambda}\end{array}\right|=0\) \(\Rightarrow \lambda=1\)…
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