PYQ Vault

Day 270: CBSE Class 12 Maths

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

  1. Question 1

    Continuity and Differentiability. Asked once: 2023 (same type asked 4 times)

    6
    The function f(x)=∣x∣f(x) = |x| is

    Tap an option to check your answer.

  2. Question 2

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

    30
    Solve the following linear programming problem graphically : Maximise Z=2x+3yZ = 2x + 3y subject to the constraints : x+y≤6x + y \le 6 x≥2x \ge 2 y≤3y \le 3 x,y≥0x, y \ge 0

  3. Question 3

    Integrals. Asked once: 2022 (same type asked 4 times)

    8 (b)
    Find : ∫2xx2+3x+2 dx\int \frac{2x}{x^2 + 3x + 2} \, dx

  4. Question 4

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

    7
    The sum of the order and the degree of the differential equation d2ydx2+(dydx)3=sin⁡y\frac{d^2y}{dx^2} + \left(\frac{dy}{dx}\right)^3 = \sin y is :

    Tap an option to check your answer.

  5. Question 5

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

    8 (a)
    Evaluate : ∫01tan⁡−1x dx\int_{0}^{1} \tan^{-1} x \, dx