CUET · MATHS · PYQ PAPER 2025
If \(, A=\left[\begin{array}{ll}x & 3 \\ 2 & 4\end{array}\right], B=\left[\begin{array}{ll}2 & 3 \\ y & 3\end{array}\right]\) and,\(C=\left[\begin{array}{ll}z & 1 \\ 8 & 2\end{array}\right]\) are singular matrices then :
(A) \(x>y\)
(B) \(y>z\)
(C) \(z>x\)
(D) \(x \neq y \neq z\)
Choose the correct answer from the options given below :
- A (A) and (B) only
- B (B) and (C) only
- C (C) and (D) only
- D (D) only
Answer & Solution
Correct Answer
(C) (C) and (D) only
Step-by-step Solution
Detailed explanation
\( \text{det}(A) = (x)(4) - (3)(2) = 4x - 6 = 0 \) \( 4x = 6 \Rightarrow x = 3/2 \) \( \text{det}(B) = (2)(3) - (3)(y) = 6 - 3y = 0 \) \( 3y = 6 \Rightarrow y = 2 \) \( \text{det}(C) = (z)(2) - (1)(8) = 2z - 8 = 0 \) \( 2z = 8 \Rightarrow z = 4 \) \( x = 1.5, y = 2, z = 4 \)…
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