PYQ Vault

Day 99: CBSE Class 12 Maths

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

  1. Question 1

    Probability. Asked once: 2022 (same type asked 2 times)

    6 (b)
    A box B1B_1 contains 1 white ball and 3 red balls. Another box B2B_2 contains 2 white balls and 3 red balls. If one ball is drawn at random from each of the boxes B1B_1 and B2B_2, then find the probability that the two balls drawn are of the same colour.

  2. Question 2

    Application of Integrals. Asked once: 2024 (same type asked 5 times)

    33
    Find the area of the region bounded by the lines x−2y=4x - 2y = 4, x=−1x = -1, x=6x = 6 and x-axis, using integration.

  3. Question 3

    Differential Equations. Asked once: 2026 (same type asked 5 times)

    29 (a)
    Find the general solution of the differential equation 2x2dydx=y2+2xy2x^2 \dfrac{dy}{dx} = y^2 + 2xy.

  4. Question 4

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

    29 (a)
    Find the particular solution of the differential equation dydx−2xy=3x2 ex2\dfrac{\mathrm{d}y}{\mathrm{d}x} - 2x\mathrm{y} = 3x^2\, \mathrm{e}^{x^2} ; y(0)=5\mathrm{y}(0) = 5.

  5. Question 5

    Differential Equations. Asked once: 2026 (same type asked 5 times)

    13
    The order and degree of differential equation y=(d2ydx2)2−λ dydxy = \left(\dfrac{d^2y}{dx^2}\right)^2 - \lambda\,\dfrac{dy}{dx} is :

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