PYQ Vault

Day 69: CBSE Class 12 Maths

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

  1. Question 1

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

    15
    In a Linear Programming Problem (LPP), the objective function Z=2x+5yZ = 2x + 5y is to be maximised under the following constraints : x+y≤4x + y \le 4, 3x+3y≥183x + 3y \ge 18, x, y≥0x,\ y \ge 0 Study the graph and select the correct option. (Note : The figure is not to scale) The solution of the given LPP :

    Tap an option to check your answer.

  2. Question 2

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

    15
    If a matrix B is such that B[1    2    3]=[123011201]B[1 \;\; 2 \;\; 3] = \begin{bmatrix} 1 & 2 & 3 \\ 0 & 1 & 1 \\ 2 & 0 & 1 \end{bmatrix}, then the order of matrix B is :

    Tap an option to check your answer.

  3. Question 3

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

    4
    If A=[1124y6x52x8x46]A = \begin{bmatrix} 1 & 12 & 4y \\ 6x & 5 & 2x \\ 8x & 4 & 6 \end{bmatrix} is a symmetric matrix, then (2x+y)(2x + y) is

    Tap an option to check your answer.

  4. Question 4

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

    17
    If A and B are symmetric matrices of same order, then which of the following matrices is a skew-symmetric matrix ?

    Tap an option to check your answer.

  5. Question 5

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

    27
    If A=[122212221]A = \begin{bmatrix} 1 & 2 & 2 \\ 2 & 1 & 2 \\ 2 & 2 & 1 \end{bmatrix}, then compute A2−4A−5 IA^2 - 4A - 5\,I.