CUET Mathematics 2026 30th May Shift 1 PYQs

If $A = [a_{ij}]_{2×2}$ where $a_{ij} = \begin{cases} 1, & i \neq j \\ 0, & i = j \end{cases}$ and $I$ is the identity matrix of order 2, then $(A^2 - 3A + 4I)$ is

(A) Symmetric Matrix

(B) Skew-symmetric Matrix

(C) Non-singular Matrix

(D) Square Matrix

Choose the correct answer from the options given below:

If $[2x \quad 4]\begin{bmatrix} x \\ -8 \end{bmatrix} = [0]$, then the value of $x$ is/are

A. $-4$

B. $4$

C. $16$

D. $-16$

Choose the correct answer from the options given below:

The maximum value of the determinant of the matrix $\begin{bmatrix} 1 & 1 & 1 \\ 1 & 1+\sin x & 1 \\ 1+\cos x & 1 & 1 \end{bmatrix}$ is:

(where $x$ is real)