PYQ Vault

Day 19: CBSE Class 12 Maths

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

  1. Question 1

    Determinants. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    33 (a)
    If A=[504232121]A = \begin{bmatrix} 5 & 0 & 4 \\ 2 & 3 & 2 \\ 1 & 2 & 1 \end{bmatrix} and B−1=[133143134]B^{-1} = \begin{bmatrix} 1 & 3 & 3 \\ 1 & 4 & 3 \\ 1 & 3 & 4 \end{bmatrix}, find (AB)−1(AB)^{-1}. Also, find ∣(AB)−1∣|(AB)^{-1}|.

  2. Question 2

    Differential Equations. Asked 2 times: 2022*, 2024 (* = numbers or wording changed that year)

    27
    Find the general solution of the differential equation dydx=x2+y22xy\frac{dy}{dx} = \frac{x^2 + y^2}{2xy}.

  3. Question 3

    Differential Equations. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    29 (b)
    Find the particular solution of the differential equation (xey/x+y)dx=x dy\left(xe^{y/x} + y\right) dx = x\,dy, given that y=1y = 1 when x=1x = 1.

  4. Question 4

    Differential Equations. Asked 2 times: 2023, 2024

    8
    The integrating factor of the differential equation (1−x2)dydx+xy=ax(1 - x^2) \frac{dy}{dx} + xy = ax, −1<x<1-1 < x < 1, is :

    Tap an option to check your answer.

  5. Question 5

    Differential Equations. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    2
    The integrating factor of the differential equation xdydx−y=x4−3xx \frac{dy}{dx} - y = x^4 - 3x is :

    Tap an option to check your answer.