PYQ Vault

Day 220: CBSE Class 12 Maths

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

  1. Question 1

    Relations and Functions. Asked once: 2024 (same type asked 2 times)

    8
    Let Z denote the set of integers, then function f:Z→Zf : Z \to Z defined as f(x)=x3−1f(x) = x^3 - 1 is :

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  2. Question 2

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

    32
    Find the inverse of the matrix A=[1−1202−33−24]A = \begin{bmatrix} 1 & -1 & 2 \\ 0 & 2 & -3 \\ 3 & -2 & 4 \end{bmatrix}. Using the inverse, A−1A^{-1}, solve the system of linear equations x−y+2z=1x - y + 2z = 1; 2y−3z=12y - 3z = 1; 3x−2y+4z=33x - 2y + 4z = 3.

  3. Question 3

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

    28 (b)
    Solve the differential equation given by x dy−y dx−x2+y2 dx=0x \, dy - y \, dx - \sqrt{x^2 + y^2} \, dx = 0.

  4. Question 4

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

    8 (a)
    Find the particular solution of the differential equation xdydx−y=x2⋅exx \dfrac{dy}{dx} - y = x^2 \cdot e^x, given y(1)=0y(1) = 0.

  5. Question 5

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

    16
    The order and degree of the differential equation : ddx(y′)3+(y′)3=1\frac{d}{dx}(y')^3 + (y')^3 = 1 respectively are where y′=dydxy' = \frac{dy}{dx}

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