PYQ Vault

Day 201: 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)

    23
    Find local maximum value and local minimum value (whichever exists) for the function f(x)=4x2+1xf(x) = 4x^2 + \frac{1}{x} (x≠0)(x \neq 0).

  2. Question 2

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

    4
    Let f(x) be a continuous function on [a, b] and differentiable on (a, b). Then, this function f(x) is strictly increasing in (a, b) if

    Tap an option to check your answer.

  3. Question 3

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

    18
    The function f(x)=kx−sin⁡xf(x) = kx - \sin x is strictly increasing for

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  4. Question 4

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

    7
    Using integration, find the area of the region {(x,y):y2≤x≤y}\{(x, y) : y^2 \le x \le y\}.

  5. Question 5

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

    6
    If f(x)=∣cos⁡x∣f(x) = |\cos x|, then f(3π4)f\left(\dfrac{3\pi}{4}\right) is

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