PYQ Vault

Day 103: CBSE Class 12 Maths

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

  1. Question 1

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

    23 (a)
    Differentiate sin⁡xcos⁡x\dfrac{\sin x}{\sqrt{\cos x}} with respect to x.

  2. Question 2

    Continuity and Differentiability. Asked once: 2026 (same type asked 4 times)

    11
    If x+y=xyx + y = xy, then dydx\dfrac{dy}{dx} is

    Tap an option to check your answer.

  3. Question 3

    Continuity and Differentiability. Asked once: 2026 (same type asked 4 times)

    12
    If 2cos⁡−1x=y2 \cos^{-1} x = y, then dydx\dfrac{dy}{dx} is :

    Tap an option to check your answer.

  4. Question 4

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

    28
    Differentiate log⁡(xx+cosec2x)\log (x^x + \mathrm{cosec}^2 x) with respect to x.

  5. Question 5

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

    2
    For the matrix A=[2−11λ201−23]\mathrm{A} = \begin{bmatrix} 2 & -1 & 1 \\ \lambda & 2 & 0 \\ 1 & -2 & 3 \end{bmatrix} to be invertible, the value of λ\lambda is :

    Tap an option to check your answer.