PYQ Vault

Day 186: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked once: 2022 (same type asked 2 times)

    13
    Evaluate : ∫0π/2(2log⁡cos⁡x−log⁡sin⁡2x) dx\displaystyle\int_0^{\pi/2} (2 \log \cos x - \log \sin 2x) \, dx

  2. Question 2

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

    11 (b)
    Using integration, find the area of the region bounded by lines x−y+1=0x - y + 1 = 0, x=−2x = -2, x=3x = 3 and xx-axis.

  3. Question 3

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

    28
    Solve the differential equation xcos⁡(yx)dydx=ycos⁡(yx)+xx \cos\left(\dfrac{y}{x}\right) \dfrac{dy}{dx} = y \cos\left(\dfrac{y}{x}\right) + x.

  4. Question 4

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

    29 (a)
    Find the general solution of the differential equation : dydx−2yx=sin⁡1x\frac{dy}{dx} - \frac{2y}{x} = \sin \frac{1}{x}.

  5. Question 5

    Differential Equations. Asked once: 2026 (same type asked 5 times)

    13
    The order and degree of the differential equation 1+(d3ydx3)3=λ d2ydx21 + \left(\dfrac{d^3y}{dx^3}\right)^3 = \lambda\,\dfrac{d^2y}{dx^2} is :

    Tap an option to check your answer.