PYQ Vault

Day 228: 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)

    28
    Find : ∫x2+1(x2+2)(x2+4) dx\int \dfrac{x^2 + 1}{(x^2 + 2)(x^2 + 4)}\, dx

  2. Question 2

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

    28 (b)
    Find : ∫ex2(x5+2x3) dx\displaystyle\int e^{x^2}(x^5 + 2x^3)\,dx

  3. Question 3

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

    31
    The random variable X has the following probability distribution where a and b are some constants :
    X12345
    P(X)0.2aa0.2b
    If the mean E(X) = 3, then find values of a and b and hence determine P(X≥3)P(X \ge 3).

  4. Question 4

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

    30 (a)
    Two balls are drawn at random one by one with replacement from an urn containing equal number of red balls and green balls. Find the probability distribution of number of red balls. Also, find the mean of the random variable.

  5. Question 5

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

    27 (b)
    Find the absolute maximum and absolute minimum values of the function f given by f(x)=x2+2xf(x) = \dfrac{x}{2} + \dfrac{2}{x}, on the interval [1,2][1, 2].