PYQ Vault

Day 15: CBSE Class 12 Maths

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

  1. Question 1

    Determinants. Asked 2 times: 2023*, 2025 (* = numbers or wording changed that year)

    4
    Let P be a skew-symmetric matrix of order 3. If det⁡(P)=α\det(P) = \alpha, then (2025)α(2025)^{\alpha} is

    Tap an option to check your answer.

  2. Question 2

    Differential Equations. Asked 2 times: 2022, 2025

    34 (a)
    Solve the differential equation : x2y dx−(x3+y3) dy=0x^2 y\, dx - (x^3 + y^3)\, dy = 0.

  3. Question 3

    Differential Equations. Asked 2 times: 2023*, 2025 (* = numbers or wording changed that year)

    26 (b)
    Solve the following differential equation : (1+x2)dydx+2xy=4x2(1 + x^2)\dfrac{dy}{dx} + 2xy = 4x^2.

  4. Question 4

    Differential Equations. Asked 2 times: 2024, 2025

    15
    The sum of the order and degree of the differential equation [1+(dydx)2]3=d2ydx2\left[1 + \left(\dfrac{dy}{dx}\right)^2\right]^3 = \dfrac{d^2y}{dx^2} is :

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  5. Question 5

    Differential Equations. Asked 2 times: 2023, 2025

    18
    If p and q are respectively the order and degree of the differential equation ddx(dydx)3=0\dfrac{d}{dx}\left(\dfrac{dy}{dx}\right)^3 = 0, then (p−q)(p - q) is

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