CUET Mathematics - The values of for which the system of equation x + 2y + z = 14, - x + y + z = 10, x + y + z = 2 has unique solution is | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 2

Algebra

Medium

core

$\mathbb{R} - \{2\}$ where $\mathbb{R}$ is set of real numbers.

$-2 \leq \lambda \leq 2$

$-4 < \lambda < 4$

✅ Correct Option: 1

Related questions:

13 May Shift 1

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

(D) Square Matrix

Choose the correct answer from the options given below:

30 May Shift 1

Let $A = [a_{ij}]_{n \times n}$ be a matrix, then match List-I with List-II

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

Choose the correct answer from the options given below:

30 May Shift 2

The minimum value of $\begin{vmatrix}2 & 2 & 2 \\ 2 & 2+x & 2 \\ 2 & 2 & 2+x\end{vmatrix}$ , $x \in R$ is

CUET Mathematics 2025 14 May Shift 2 PYQs

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