PYQ Vault

Day 175: CBSE Class 12 Maths

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

  1. Question 1

    Application of Derivatives. Asked once: 2025 (same type asked 3 times)

    22 (b)
    If f(x)=x+1xf(x) = x + \frac{1}{x}, x≥1x \ge 1, show that f is an increasing function.

  2. Question 2

    Application of Derivatives. Asked once: 2025 (same type asked 3 times)

    10
    Edge of a variable cube increases at the rate of 5 cm/s. The rate at which the surface area of the cube increases when the edge is 2 cm long is :

    Tap an option to check your answer.

  3. Question 3

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

    12
    Find the area bounded by the curves y=∣x−1∣y = |x - 1| and y=1y = 1, using integration.

  4. Question 4

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

    35
    Using integration, find the area of the region enclosed between the curve y=4−x2y = \sqrt{4 - x^2} and the lines x=−1x = -1, x=1x = 1 and the x-axis.

  5. Question 5

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

    6
    Derivative of x2x^2 with respect to x3x^3, is :

    Tap an option to check your answer.