PYQ Vault

Day 214: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked once: 2024 (same type asked 4 times)

    33 (a)
    Evaluate : ∫0π4sin⁡x+cos⁡x9+16sin⁡2x  dx\int_0^{\frac{\pi}{4}} \frac{\sin x + \cos x}{9 + 16 \sin 2x} \; dx

  2. Question 2

    Integrals. Asked once: 2025 (same type asked 4 times)

    33
    Find : ∫5x(x+1)(x2+9)  dx\displaystyle\int \dfrac{5x}{(x + 1)(x^2 + 9)}\;dx.

  3. Question 3

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

    26 (b)
    Find ∫dxsin⁡3xcos⁡(x−α)\int \frac{dx}{\sqrt{\sin^3 x \cos (x - \alpha)}}.

  4. Question 4

    Probability. Asked once: 2024 (same type asked 4 times)

    17
    The probability distribution of a random variable X is :
    X01234
    P(X)0.1k2kk0.1
    where k is some unknown constant. The probability that the random variable X takes the value 2 is :

    Tap an option to check your answer.

  5. Question 5

    Probability. Asked once: 2024 (same type asked 4 times)

    31
    An urn contains 3 red and 2 white marbles. Two marbles are drawn one by one with replacement from the urn. Find the probability distribution of the number of white balls. Also, find the mean of the number of white balls drawn.