PYQ Vault

Day 236: CBSE Class 12 Maths

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

  1. Question 1

    Continuity and Differentiability. Asked once: 2024 (same type asked 4 times)

    6
    If ex2y=ce^{x^{2}y} = c, then dydx\dfrac{dy}{dx} is :

    Tap an option to check your answer.

  2. Question 2

    Continuity and Differentiability. Asked once: 2025 (same type asked 4 times)

    27 (a)
    Differentiate y=sin⁡−1(3x−4x3)y = \sin^{-1}(3x - 4x^3) w.r.t. x, if x∈[−12, 12]x \in \left[-\dfrac{1}{2},\ \dfrac{1}{2}\right].

  3. Question 3

    Determinants. Asked once: 2024 (same type asked 4 times)

    13
    If ∣131k01001∣=±6\begin{vmatrix} 1 & 3 & 1 \\ k & 0 & 1 \\ 0 & 0 & 1 \end{vmatrix} = \pm 6, then the value of k is :

    Tap an option to check your answer.

  4. Question 4

    Integrals. Asked once: 2022 (same type asked 4 times)

    9 (b)
    Evaluate, using properties : ∫−ππ(3sin⁡x−2)2 dx\int_{-\pi}^{\pi} (3\sin x - 2)^2\,dx.

  5. Question 5

    Integrals. Asked once: 2023 (same type asked 4 times)

    9
    If ∫0a3x2 dx=8\displaystyle\int_0^a 3x^2\, dx = 8, then the value of 'a' is :

    Tap an option to check your answer.