PYQ Vault

Day 240: CBSE Class 12 Maths

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

  1. Question 1

    Probability. Asked once: 2023 (same type asked 4 times)

    31
    From a lot of 30 bulbs which include 6 defective bulbs, a sample of 2 bulbs is drawn at random one by one with replacement. Find the probability distribution of the number of defective bulbs and hence find the mean number of defective bulbs.

  2. Question 2

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

    25
    Find the absolute maximum and minimum values of the function f(x)=12x4/3−6x1/3f(x) = 12x^{4/3} - 6x^{1/3}, x∈[0,1]x \in [0, 1].

  3. Question 3

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

    23
    The surface area of a cube increases at the rate of 72 cm2^2/sec. Find the rate of change of its volume, when the edge of the cube measures 3 cm.

  4. Question 4

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

    8
    Derivative of esin⁡2xe^{\sin^2 x} with respect to cos⁡x\cos x is :

    Tap an option to check your answer.

  5. Question 5

    Differential Equations. Asked once: 2024 (same type asked 3 times)

    9
    The integrating factor of the differential equation dydx+2xy=0\dfrac{dy}{dx} + \dfrac{2}{x}y = 0, x≠0x \neq 0 is :

    Tap an option to check your answer.