PYQ Vault

Day 28: CBSE Class 12 Maths

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

  1. Question 1

    Continuity and Differentiability. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    5
    Differential of eexe^{e^x} with respect to x is :

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  2. Question 2

    Continuity and Differentiability. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    7
    If e−x+e−y=2e^{-x} + e^{-y} = 2, then dydx\dfrac{dy}{dx} is

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  3. Question 3

    Continuity and Differentiability. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    1
    If tan⁡−1x=y\tan^{-1} x = y, then dydx\dfrac{dy}{dx} is equal to :

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  4. Question 4

    Continuity and Differentiability. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    33 (b)
    Find the differential of xcot⁡x+2x2−32x2−x+2x^{\cot x} + \dfrac{2x^2 - 3}{2x^2 - x + 2} with respect to x.

  5. Question 5

    Determinants. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    33 (b)
    If [3−1sin⁡3x−74cos⁡2x−1172]\begin{bmatrix} 3 & -1 & \sin 3x \\ -7 & 4 & \cos 2x \\ -11 & 7 & 2 \end{bmatrix} is a singular matrix, then find all values of xx where x∈[0,π2]x \in \left[ 0, \frac{\pi}{2} \right].