PYQ Vault

Day 100: CBSE Class 12 Maths

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

  1. Question 1

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

    14
    The general solution for the differential equation dydx=e3x−y\dfrac{dy}{dx} = e^{3x - y} is :

    Tap an option to check your answer.

  2. Question 2

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

    27 (b)
    Find the particular solution of the differential equation dydx=ytan⁡x\frac{dy}{dx} = y \tan x, given that y=2y = 2 if x=0x = 0.

  3. Question 3

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

    34 (a)
    Evaluate : ∫03/2∣xcos⁡πx∣ dx\int\limits_0^{3/2} |x \cos \pi x|\, dx

  4. Question 4

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

    32 (b)
    Evaluate : ∫0πxsin⁡x1+cos⁡2x dx\displaystyle\int_{0}^{\pi} \dfrac{x \sin x}{1 + \cos^2 x}\, dx

  5. Question 5

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

    32 (b)
    Evaluate : ∫01xtan⁡−1x(1+x2)3/2 dx\displaystyle\int_0^1 \dfrac{x \tan^{-1} x}{\left(1 + x^2\right)^{3/2}}\, dx