PYQ Vault

Day 249: CBSE Class 12 Maths

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

  1. Question 1

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

    12
    The order and degree of the differential equation d2ydx2+4(dydx)=xlog⁡(d2ydx2)\dfrac{d^2y}{dx^2} + 4\left(\dfrac{dy}{dx}\right) = x \log\left(\dfrac{d^2y}{dx^2}\right) are respectively :

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  2. Question 2

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

    3
    Find the general solution of the differential equation : dydx=3e2x+3e4xex+e−x\dfrac{dy}{dx} = \dfrac{3e^{2x} + 3e^{4x}}{e^x + e^{-x}}

  3. Question 3

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

    27 (b)
    Evaluate : ∫13{∣(x−1)∣+∣(x−2)∣}dx\displaystyle\int_{1}^{3} \left\{ |(x - 1)| + |(x - 2)| \right\} dx

  4. Question 4

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

    10
    Evaluate : ∫0π/211+(tan⁡x)2/3 dx\int_0^{\pi/2} \dfrac{1}{1 + (\tan x)^{2/3}}\, dx

  5. Question 5

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

    31
    Find : ∫x2⋅sin⁡−1(x3/2) dx\displaystyle\int x^2 \cdot \sin^{-1}(x^{3/2})\, dx