PYQ Vault

Day 229: CBSE Class 12 Maths

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

  1. Question 1

    Application of Derivatives. Asked once: 2023 (same type asked 3 times)

    23
    Find the sub-intervals in which f(x)=log⁡(2+x)−x2+xf(x) = \log (2 + x) - \frac{x}{2 + x}, x>−2x > -2 is increasing or decreasing.

  2. Question 2

    Application of Derivatives. Asked once: 2024 (same type asked 3 times)

    11
    The rate of change of surface area of a sphere with respect to its radius ′r′'r', when r=4r = 4 cm, is :

    Tap an option to check your answer.

  3. Question 3

    Continuity and Differentiability. Asked once: 2024 (same type asked 3 times)

    6
    Derivative of e2xe^{2x} with respect to exe^{x}, is :

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  4. Question 4

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

    12
    The integrating factor of the differential equation dydx+y=1+yx\frac{dy}{dx} + y = \frac{1 + y}{x} is

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  5. Question 5

    Inverse Trigonometric Functions. Asked once: 2023 (same type asked 3 times)

    21 (b)
    Evaluate : sin⁡−1(sin⁡3π4)+cos⁡−1(cos⁡3π4)+tan⁡−1(1)\sin^{-1}\left(\sin \frac{3\pi}{4}\right) + \cos^{-1}\left(\cos \frac{3\pi}{4}\right) + \tan^{-1}(1)