PYQ Vault

Day 169: CBSE Class 12 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Matrices. Asked once: 2025 (same type asked 4 times)

    3
    If A=[123−437]A = \begin{bmatrix} 1 & 2 & 3 \\ -4 & 3 & 7 \end{bmatrix} and B=[43−1205]B = \begin{bmatrix} 4 & 3 \\ -1 & 2 \\ 0 & 5 \end{bmatrix}, then the correct statement is :

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  2. Question 2

    Matrices. Asked once: 2023 (same type asked 4 times)

    1
    If A=[14xz2y−3−13]A = \begin{bmatrix} 1 & 4 & x \\ z & 2 & y \\ -3 & -1 & 3 \end{bmatrix} is a symmetric matrix, then the value of x + y + z is :

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  3. Question 3

    Matrices. Asked once: 2026 (same type asked 4 times)

    1
    For any square matrix A with real entries, if A+A′A + A' is a symmetric matrix then :

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  4. Question 4

    Matrices. Asked once: 2025 (same type asked 4 times)

    21
    If A=[2−2−22]A = \begin{bmatrix} 2 & -2 \\ -2 & 2 \end{bmatrix} and A2=kAA^2 = kA, then find the value of k.

  5. Question 5

    Matrices. Asked once: 2024 (same type asked 4 times)

    12
    If A=[aij]A = [a_{ij}] be a 3×33 \times 3 matrix, where aij=i−3ja_{ij} = i - 3j, then which of the following is false ?

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