PYQ Vault

Day 4: CBSE Class 12 Maths

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

  1. Question 1

    Three Dimensional Geometry. Asked 3 times: 2023*, 2024*, 2025 (* = numbers or wording changed that year)

    6
    If the direction cosines of a line are λ,λ,λ\lambda, \lambda, \lambda, then λ\lambda is equal to :

    Tap an option to check your answer.

  2. Question 2

    Application of Derivatives. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

    33 (b)
    A rectangle of perimeter 36 cm is revolved around one of its sides to sweep out a cylinder of maximum volume. Find the dimensions of the rectangle.

  3. Question 3

    Application of Derivatives. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    8
    For f(x)=x+1xf(x) = x + \dfrac{1}{x} (x≠0)(x \neq 0)

    Tap an option to check your answer.

  4. Question 4

    Application of Derivatives. Asked 2 times: 2025, 2026

    23
    Determine the interval(s) in which f(x)=5x3/2−3x5/2f(x) = 5x^{3/2} - 3x^{5/2}, x>0x > 0 is increasing.

  5. Question 5

    Application of Derivatives. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

    23
    Determine the values of x for which f(x)=x−3x+1f(x) = \dfrac{x - 3}{x + 1}, x≠−1x \ne -1 is an increasing function.