PYQ Vault

Day 187: CBSE Class 12 Maths

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

  1. Question 1

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

    29 (b)
    Find the general solution of the differential equation extan⁡y dx+(1−ex)sec⁡2y dy=0e^x \tan y\, dx + (1 - e^x)\sec^2 y\, dy = 0.

  2. Question 2

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

    26 (a)
    Solve the differential equation 2(y+3)−xydydx=02(y + 3) - xy \dfrac{dy}{dx} = 0; given y(1)=−2y(1) = -2.

  3. Question 3

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

    3
    ∫−11∣x∣x dx\int_{-1}^{1} \frac{|x|}{x}\,dx, x≠0x \neq 0 is equal to

    Tap an option to check your answer.

  4. Question 4

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

    34 (b)
    Evaluate : ∫0πdxa2cos⁡2x+b2sin⁡2x\int\limits_0^{\pi} \frac{dx}{a^2 \cos^2 x + b^2 \sin^2 x}

  5. Question 5

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

    34 (b)
    Find : ∫x2+1[log⁡(x2+1)−2log⁡x]x2 dx\int \frac{\sqrt{x^2 + 1}\left[\log(x^2 + 1) - 2\log x\right]}{x^2}\, dx