JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
The sum of distinct values of \(\lambda\) for which the system of equations \((\lambda-1) x+(3 \lambda+1) y+2 \lambda z=0\) \((\lambda-1) x+(4 \lambda-2) y+(\lambda+3) z=0\) \(2 x+(3 \lambda+1) y+3(\lambda-1) z=0\) has non-zero solutions, is
- A \(3\)
- B \(0\)
- C \(6\)
- D \(9\)
Answer & Solution
Correct Answer
(A) \(3\)
Step-by-step Solution
Detailed explanation
\((\lambda-1) x+(3 \lambda+1) y+2 \lambda z=0\) \((\lambda-1) x+(4 \lambda-2) y+(\lambda+3) z=0\) \(2 x+(3 \lambda+1) y+(3 \lambda-3) z=0\)…
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