PYQ Vault

Day 217: CBSE Class 12 Maths

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

  1. Question 1

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

    11
    The point of inflexion of a function f(x)f(x) is the point where

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  2. Question 2

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

    9
    The interval in which the function f(x)=2x3+9x2+12x−1f(x) = 2x^3 + 9x^2 + 12x - 1 is decreasing, is

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  3. Question 3

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

    16
    If f(x)=a(x−cos⁡x)f(x) = a(x - \cos x) is strictly decreasing in R\mathbb{R}, then 'a' belongs to

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  4. Question 4

    Application of Integrals. Asked once: 2022 (same type asked 3 times)

    13
    Find the area of the region enclosed by the curves y2=xy^2 = x, x=14x = \dfrac{1}{4}, y=0y = 0 and x=1x = 1, using integration.

  5. Question 5

    Continuity and Differentiability. Asked once: 2023 (same type asked 3 times)

    7
    The function f(x)=[x]f(x) = [x], where [x][x] denotes the greatest integer less than or equal to xx, is continuous at

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