PYQ Vault

Day 140: 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)

    16
    For a Linear Programming Problem (LPP), the given objective function Z=3x+2yZ = 3x + 2y is subject to constraints : x+2y≤10x + 2y \le 10 3x+y≤153x + y \le 15 x, y≥0x,\ y \ge 0 The correct feasible region is :

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  2. Question 2

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

    1
    Let both AB′AB' and B′AB'A be defined for matrices A and B. If order of A is n×mn \times m, then the order of B is :

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  3. Question 3

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

    2
    If A=[5xy0]A = \begin{bmatrix} 5 & x \\ y & 0 \end{bmatrix} and A=ATA = A^T, where ATA^T is the transpose of the matrix A, then

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  4. Question 4

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

    10
    If A and B are symmetric matrics of same order, then (AB−BA)(AB - BA) is a

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  5. Question 5

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

    22
    If A=[23−12]A = \begin{bmatrix} 2 & 3 \\ -1 & 2 \end{bmatrix}, then show that A2−4A+7I=0A^2 - 4A + 7I = 0.