PYQ Vault

Day 269: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked once: 2022 (same type asked 4 times)

    12 (a)
    Find : ∫x2(x2+1)(3x2+4) dx\int \dfrac{x^2}{(x^2 + 1)(3x^2 + 4)} \, dx

  2. Question 2

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

    12
    The order and the degree of the differential equation (1+3dydx)2=4d3ydx3\left(1 + 3\dfrac{dy}{dx}\right)^2 = 4\dfrac{d^3y}{dx^3} respectively are :

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  3. Question 3

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

    10 (a)
    Find : ∫ex⋅sin⁡2x dx\int e^x \cdot \sin 2x\, dx

  4. Question 4

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

    1
    ∫1+tan⁡x1−tan⁡x dx\int \frac{1 + \tan x}{1 - \tan x} \, dx is equal to :

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  5. Question 5

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

    10
    For any two events A and B, if P(A‾)=12P(\overline{A}) = \frac{1}{2}, P(B‾)=23P(\overline{B}) = \frac{2}{3} and P(A∩B)=14P(A \cap B) = \frac{1}{4}, then P(A‾B‾)P\left( \frac{\overline{A}}{\overline{B}} \right) equals :

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