PYQ Vault

Day 273: 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)

    29
    Solve the following linear programming problem graphically : Maximize : Z=x+2yZ = x + 2y subject to constraints : x+2y≥100x + 2y \ge 100, 2x−y≤02x - y \le 0, 2x+y≤2002x + y \le 200, x≥0x \ge 0, y≥0y \ge 0.

  2. Question 2

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

    1
    Find the product of the order and the degree of the differential equation [ddx(xy2)]⋅dydx+y=0\left[ \frac{d}{dx} (xy^2) \right] \cdot \frac{dy}{dx} + y = 0.

  3. Question 3

    Integrals. Asked once: 2023 (same type asked 5 times)

    14
    The primitive of 21+cos⁡2x\frac{2}{1 + \cos 2x} is

    Tap an option to check your answer.

  4. Question 4

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

    30
    Solve the following linear programming problem graphically : Minimise : z=−3x+4yz = -3x + 4y subject to the constraints x+2y≤8x + 2y \le 8, 3x+2y≤123x + 2y \le 12, x,y≥0x, y \ge 0.

  5. Question 5

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

    2 (a)
    Find : ∫sin⁡3xsin⁡x dx\int \frac{\sin 3x}{\sin x} \, dx