PYQ Vault

Day 206: CBSE Class 12 Maths

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

  1. Question 1

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

    29 (a)
    Find the particular solution of the differential equation dydx=ycot⁡2x\dfrac{dy}{dx} = y \cot 2x, given that y(π4)=2y\left(\dfrac{\pi}{4}\right) = 2.

  2. Question 2

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

    28 (b)
    Evaluate : ∫13(∣x−1∣+∣x−2∣+∣x−3∣)dx\int_1^3 \left( |x - 1| + |x - 2| + |x - 3| \right) dx

  3. Question 3

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

    28 (a)
    Evaluate : ∫0πecos⁡xecos⁡x+e−cos⁡x dx\displaystyle\int_{0}^{\pi} \dfrac{\mathrm{e}^{\cos x}}{\mathrm{e}^{\cos x} + \mathrm{e}^{-\cos x}}\, \mathrm{d}x

  4. Question 4

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

    33
    Find : ∫sin⁡−1xa+x dx\int \sin^{-1} \sqrt{\frac{x}{a + x}}\,dx.

  5. Question 5

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

    11
    ∫cos⁡2xsin⁡2xcos⁡2x dx\displaystyle\int \dfrac{\cos 2x}{\sin^2 x \cos^2 x}\ dx is equal to :

    Tap an option to check your answer.