PYQ Vault

Day 238: CBSE Class 12 Maths

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

  1. Question 1

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

    17
    The number of feasible solutions of the linear programming problem given as Maximize z = 15x + 30y subject to constraints : 3x+y≤123x + y \leq 12, x+2y≤10x + 2y \leq 10, x≥0x \geq 0, y≥0y \geq 0 is

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  2. Question 2

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

    5
    The product of matrix P and Q is equal to a diagonal matrix. If the order of matrix Q is 3×23 \times 2, then order of matrix P is :

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  3. Question 3

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

    8
    If a matrix A is both symmetric and skew-symmetric, then A is a :

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  4. Question 4

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

    34 (a)
    If A=[102021203]A = \begin{bmatrix} 1 & 0 & 2 \\ 0 & 2 & 1 \\ 2 & 0 & 3 \end{bmatrix}, then show that A3−6A2+7A+2 I=OA^3 - 6A^2 + 7A + 2 \, I = O.

  5. Question 5

    Three Dimensional Geometry. Asked once: 2022 (same type asked 4 times)

    1
    The Cartesian equation of a line AB is : 2x−112=y+22=z−33\dfrac{2x - 1}{12} = \dfrac{y + 2}{2} = \dfrac{z - 3}{3} Find the direction cosines of a line parallel to line AB.