CUET · MATHS · PYQ PAPER 2023
If \(\begin{vmatrix} 2 & 3 & 2 \\ x & x & x \\ 4 & 9 & 1 \end{vmatrix} + 3 = 0\) then the value of x is:
- A 1
- B -1
- C \(0\)
- D 3
Answer & Solution
Correct Answer
(B) -1
Step-by-step Solution
Detailed explanation
Factor \(x\) from \(R_2\): \(x \begin{vmatrix} 2 & 3 & 2 \\ 1 & 1 & 1 \\ 4 & 9 & 1 \end{vmatrix}\) Determinant calculation: \(x [2(1 \cdot 1 - 1 \cdot 9) - 3(1 \cdot 1 - 1 \cdot 4) + 2(1 \cdot 9 - 1 \cdot 4)]\) \(= x [2(1-9) - 3(1-4) + 2(9-4)]\) \(= x [2(-8) - 3(-3) + 2(5)]\)…
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