CUET · MATHS · PYQ PAPER 2025
The integral value of \(k\) for which the system of linear equations
\(\begin{array}{l}k x+y+2 z=0 \\k y=x-3 z \\2 x+y+k z=0\end{array}\)
has a non-zero solution is :
- A 2
- B 1
- C 3
- D 5
Answer & Solution
Correct Answer
(A) 2
Step-by-step Solution
Detailed explanation
The system of equations is: \(kx + y + 2z = 0\) \(x - ky - 3z = 0\) \(2x + y + kz = 0\) Coefficient matrix: \(A = \begin{pmatrix} k & 1 & 2 \\ 1 & -k & -3 \\ 2 & 1 & k \end{pmatrix}\) For a non-zero solution, \(\det(A) = 0\).…
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