CUET Mathematics 2025 30 May Shift 2 PYQs

If det $\begin{pmatrix} \frac{2x}{8} & \frac{5}{x} \end{pmatrix}$ = det $\begin{pmatrix} 6 & -2 \\ 1 & 1 \end{pmatrix}$, then the value of x is

Let $M_{ij}$ and $A_{ij}$ denote respectively minors and co-factors of the element in the ith row and jth column of the matrix $A = \begin{bmatrix} 1 & 2 & -1 \\ 3 & 2& 3 \\ 4 & -1 & 0 \end{bmatrix}$. Then

(A) $M_{23} = 6$

(B) $M_{23} = 9$

(C) $A_{32} = -6$

(D) $A_{33} = -9$

Choose the correct answer from the options given below:

If $\begin{bmatrix} x - 2 & 3 & -2 \\ y & 0 & -4 \\ 2 & z & 0 \end{bmatrix}$ is a skew symmetric matrix, then the value of $x + y + z$ is