CUET UG Maths Question Paper (14-May-2025) (Shift-1)

Question 1

Let A = $[a_{ij}]_{n 	imes n}$ be a matrix. ThenMatch List-I with List-IIList-1List-II(A) $A^T = A$(I) A is a singular matrix(B) $A^T = -A$(II) A is a non-singular matrix(C) $|A| = 0$(III) A is a skew symmetric matric(D) $|A| 
eq 0$(IV) A is a symmetric matricChoose the correct answer from the options given below:

Accepted Answer

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

Answer

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Answer

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

Answer

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

Question 2

If $A = \begin{bmatrix} 1 & 0 \ 0 & -1 \end{bmatrix}$ and $B = \begin{bmatrix} 0 & 1 \ 1 & 0 \end{bmatrix}$ then the matrix $AB$ is equal to

Accepted Answer

2. $\begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix}$

Answer

1. $\begin{bmatrix} 0 & 0 \ 0 & 0 \end{bmatrix}$

Answer

3. $\begin{bmatrix} 0 & 1 \ 1 & 0 \end{bmatrix}$

Answer

4. $\begin{bmatrix} 1 & 1 \ 1 & -1 \end{bmatrix}$

Question 3

If A is a square matrix and I is the identity matrix of same order such that $A^2 = I$, then $(A - I)^3 + (A + I)^3 - 3A$ is equal to

Accepted Answer

5A

Answer

A

Answer

2A

Answer

3A

Question 4

If $A = \begin{bmatrix} 0 & 0 & \sqrt{3} \ 0 & \sqrt{3} & 0 \ \sqrt{3} & 0 & 0 \end{bmatrix}$, then $|adj A|$ is equal to

Accepted Answer

27

Answer

3

Answer

9

Answer

81

Question 5

If $y = 3e^{2x} + 2e^{3x}$, then $\frac{d^2y}{dx^2} + 6y$ is equal to

Accepted Answer

$30\frac{dy}{dx}$

Answer

$\frac{dy}{dx}$

Answer

$5\frac{dy}{dx}$

Answer

$6\frac{dy}{dx}$

CUET UG Maths Question Paper (14-May-2025) (Shift-1)

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List-1	List-II
(A) $A^T = A$	(I) A is a singular matrix
(B) $A^T = -A$	(II) A is a non-singular matrix
(C) $\|A\| = 0$	(III) A is a skew symmetric matric
(D) $\|A\| \neq 0$	(IV) A is a symmetric matric