PYQ Vault

Day 121: CBSE Class 12 Maths

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

  1. Question 1

    Determinants. Asked once: 2024 (same type asked 3 times)

    4
    If A=[−20012351−1]A = \begin{bmatrix} -2 & 0 & 0 \\ 1 & 2 & 3 \\ 5 & 1 & -1 \end{bmatrix}, then the value of ∣ A (adj. A) ∣|\,A\,(\text{adj. }A)\,| is :

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  2. Question 2

    Determinants. Asked once: 2025 (same type asked 3 times)

    7
    If M and N are square matrices of order 3 such that det (M) = m and MN = mI, then det (N) is equal to :

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  3. Question 3

    Differential Equations. Asked once: 2022 (same type asked 3 times)

    5
    Solve the differential equation : log⁡(dydx)=x−y\log\left(\frac{dy}{dx}\right) = x - y.

  4. Question 4

    Integrals. Asked once: 2024 (same type asked 3 times)

    6
    ∫abf(x) dx\int_a^b f(x)\,dx is equal to :

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  5. Question 5

    Integrals. Asked once: 2025 (same type asked 3 times)

    3
    If ∫01ex1+x dx=α\int_{0}^{1} \frac{e^x}{1 + x}\,dx = \alpha, then ∫01ex(1+x)2 dx\int_{0}^{1} \frac{e^x}{(1 + x)^2}\,dx is equal to

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