PYQ Vault

Day 221: CBSE Class 12 Maths

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

  1. Question 1

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

    5
    Find the general solution of the differential equation sec⁡2x⋅tan⁡y dx+sec⁡2y⋅tan⁡x dy=0.\sec^2 x \cdot \tan y \, dx + \sec^2 y \cdot \tan x \, dy = 0.

  2. Question 2

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

    29 (b)
    Find the particular solution of the differential equation : dydx=sin⁡(x+y)+sin⁡(x−y)\frac{dy}{dx} = \sin(x + y) + \sin(x - y), given that when x=π4x = \frac{\pi}{4}, y = 0.

  3. Question 3

    Integrals. Asked once: 2024 (same type asked 5 times)

    8
    The value of ∫−11∣x∣ dx\displaystyle\int_{-1}^{1} |x|\ dx is :

    Tap an option to check your answer.

  4. Question 4

    Integrals. Asked once: 2024 (same type asked 5 times)

    27 (a)
    Evaluate : ∫0π/4x dx1+cos⁡2x+sin⁡2x\displaystyle\int_{0}^{\pi/4} \dfrac{x\,dx}{1 + \cos 2x + \sin 2x}

  5. Question 5

    Integrals. Asked once: 2025 (same type asked 5 times)

    22
    Find : ∫2x3 ex2 dx\displaystyle\int 2x^3\,e^{x^2}\,dx.