PYQ Vault

Day 144: CBSE Class 12 Maths

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

  1. Question 1

    Application of Integrals. Asked once: 2024 (same type asked 4 times)

    13
    The area of the region bounded by the curve y2=4xy^2 = 4x and x=1x = 1 is :

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  2. Question 2

    Differential Equations. Asked once: 2024 (same type asked 4 times)

    28 (a)
    Find the particular solution of the differential equation given by 2xy+y2−2x2dydx=02xy + y^2 - 2x^2 \dfrac{dy}{dx} = 0; y=2y = 2, when x=1x = 1.

  3. Question 3

    Integrals. Asked once: 2025 (same type asked 4 times)

    12
    ∫0π/2cos⁡x⋅esin⁡x dx\displaystyle\int_{0}^{\pi/2} \cos x \cdot e^{\sin x}\ dx is equal to :

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  4. Question 4

    Integrals. Asked once: 2025 (same type asked 4 times)

    32 (a)
    Find : ∫x(x−1)(x2+4) dx\displaystyle\int \dfrac{x}{(x - 1)(x^2 + 4)}\, dx

  5. Question 5

    Integrals. Asked once: 2024 (same type asked 4 times)

    11
    ∫1x(log⁡x)2 dx\displaystyle\int \dfrac{1}{x(\log x)^2}\, dx is equal to :

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