PYQ Vault

Day 254: CBSE Class 12 Maths

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

  1. Question 1

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

    12
    The order and degree of the differential equation [d2ydx2−1]2=dydx\left[\dfrac{d^2y}{dx^2} - 1\right]^2 = \dfrac{dy}{dx} are, respectively :

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  2. Question 2

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

    11
    ∫−11∣x−2∣x−2 dx\displaystyle\int_{-1}^{1} \dfrac{|x - 2|}{x - 2}\,dx, x≠2x \ne 2 is equal to

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  3. Question 3

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

    12
    Evaluate : ∫0πx9sin⁡2x+16cos⁡2x dx\displaystyle\int_0^{\pi} \dfrac{x}{9 \sin^2 x + 16 \cos^2 x} \, dx

  4. Question 4

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

    5
    If ddx(f(x))=log⁡x\frac{d}{dx}(f(x)) = \log x, then f(x) equals :

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  5. Question 5

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

    3
    ∫1−2sin⁡xcos⁡2x dx\int \frac{1 - 2\sin x}{\cos^2 x}\,dx is equal to :

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