PYQ Vault

Day 261: CBSE Class 12 Maths

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

  1. Question 1

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

    26
    Solve the following linear programming problem graphically : Maximize z=x+yz = x + y subject to constraints 2x+5y≤1002x + 5y \le 100 8x+5y≤2008x + 5y \le 200 x≥0,y≥0x \ge 0, y \ge 0.

  2. Question 2

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

    7
    For any square matrix A, (A−A′)(A - A') is always

    Tap an option to check your answer.

  3. Question 3

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

    27 (a)
    Evaluate : ∫1/31(x−x3)1/3x4 dx\displaystyle\int_{1/3}^{1} \dfrac{(x - x^3)^{1/3}}{x^4}\, dx

  4. Question 4

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

    27
    Find : ∫1x(x+1)(x+2) dx\int \frac{1}{\sqrt{x}\left(\sqrt{x} + 1\right)\left(\sqrt{x} + 2\right)} \, dx

  5. Question 5

    Differential Equations. Asked once: 2022 (same type asked 5 times)

    8
    Find the general solution of the differential equation xdydx−y+xsin⁡yx=0x \frac{dy}{dx} - y + x \sin \frac{y}{x} = 0.