PYQ Vault

Day 205: CBSE Class 12 Maths

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

  1. Question 1

    Determinants. Asked once: 2023 (same type asked 2 times)

    33 (b)
    Solve the following system of equations by matrix method : x+2y+3z=6x + 2y + 3z = 6 2x−y+z=22x - y + z = 2 3x+2y−2z=33x + 2y - 2z = 3

  2. Question 2

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

    29 (b)
    Solve the following differential equation : x2 dy+y(x+y) dx=0x^2\, \mathrm{d}y + \mathrm{y}(x + \mathrm{y})\, \mathrm{d}x = 0

  3. Question 3

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

    12 (a)
    Find the particular solution of the differential equation xdydx+y+11+x2=0x \dfrac{dy}{dx} + y + \dfrac{1}{1 + x^2} = 0, given that y(1)=0y(1) = 0.

  4. Question 4

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

    12
    Product of the order and degree of differential equation 1+(dydx)3=λ(d3ydx3)21 + \left(\dfrac{dy}{dx}\right)^3 = \lambda \left(\dfrac{d^3y}{dx^3}\right)^2 is :

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  5. Question 5

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

    15
    The general solution of the differential equation x dy−(1+x2) dx=dxx \, dy - (1 + x^2) \, dx = dx is :

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