CUET Mathematics - Let A = bmatrix 0 & 2+1 \\ \ 1& bmatrix and B = bmatrix b_1 \ b_2 bmatrix be a skew symmetric matrix of order 2 such that b_12 = 1. If AB = I_2 where I_2 is identity matrix of order 2, then | PYQs + Solutions

CUET Mathematics 2025 19 May Shift 1

Algebra

Medium

applied

$\alpha + \beta = 1$

$\beta = \alpha = 1$

$\alpha + \beta = -2$

$\alpha\beta = 1$

✅ Correct Option: 2

Related questions:

CUET Mathematics 2024 Slot 1

If the matrix $\left[\begin{array}{rrr}0 & -1 & 3 x \\ 1 & y & -5 \\ -6 & 5 & 0\end{array}\right]$ is skew-symmetric, then the value of $5 x-y$ is:

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Given a matrix A of order 3x3. If |A|=3 then the value of |A(adj A)| is:

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Match List-I with List-II

List-I	List-II
Matrix/equations	Values
(A) $\begin{bmatrix} 2x+1 & 3y \\ 0 & y^2-5y \end{bmatrix} = \begin{bmatrix} x+3 & y^2+2 \\ 0 & -6 \end{bmatrix}$	(I) $x = 2, y = -1$
(B) $\begin{bmatrix} 1 & 2 & -1 \\ x & 0 & 3 \\ y & 3 & 4 \end{bmatrix}$ is symmetric	(II) $x = 2, y = 2$
(C) $[x \ \ 1]\begin{bmatrix} 1 & 0 \\ -2 & -3 \end{bmatrix}\begin{bmatrix} 5 & 2 \\ 0 & y \end{bmatrix} = O$	(III) $x = -2, y = 2$
(D) $\begin{bmatrix} x & 0 \\ 1 & 1 \end{bmatrix}\begin{bmatrix} x & 0 \\ 1 & 1 \end{bmatrix} = \begin{bmatrix} 4 & 0 \\ -1 & y/2 \end{bmatrix}$	(IV) $x = 2, y = 0$

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CUET Mathematics 2025 19 May Shift 1 PYQs