PYQ Vault

Day 258: 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)

    9
    Solve the following differential equation : (1+ey/x) dy+ey/x(1−yx)dx=0(1 + e^{y/x}) \, dy + e^{y/x} \left( 1 - \frac{y}{x} \right) dx = 0

  2. Question 2

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

    2
    The degree and order of differential equation (y′′)2+log⁡(y′)=x5(y'')^2 + \log (y') = x^5 respectively are :

    Tap an option to check your answer.

  3. Question 3

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

    30
    Evaluate : ∫0π2∣sin⁡x−cos⁡x∣ dx\int\limits_{0}^{\frac{\pi}{2}} |\sin x - \cos x| \, dx

  4. Question 4

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

    7
    Evaluate : ∫0π/4dx1+tan⁡x\int_0^{\pi/4} \dfrac{dx}{1 + \tan x}

  5. Question 5

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

    31 (a)
    Evaluate : ∫0π2exsin⁡x dx\int\limits_{0}^{\frac{\pi}{2}} e^x \sin x \, dx