PYQ Vault

Day 247: 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)

    11
    The value of ∫π/4π/2cot⁡θ  cosec2θ  dθ\displaystyle\int_{\pi/4}^{\pi/2} \cot\theta \; \mathrm{cosec}^2\theta \; d\theta is :

    Tap an option to check your answer.

  2. Question 2

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

    30
    Find : ∫x(x+1)(x−1) dx\int \dfrac{\sqrt{x}}{(x + 1)(x - 1)}\, dx

  3. Question 3

    Integrals. Asked once: 2022 (same type asked 4 times)

    6 (a)
    Find : ∫cot⁡xsin⁡xcos⁡x dx\int \frac{\sqrt{\cot x}}{\sin x \cos x} \, dx

  4. Question 4

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

    30 (a)
    The probability distribution of a random variable X is given below :
    X123
    P(X)k2\frac{k}{2}k3\frac{k}{3}k6\frac{k}{6}
    (i) Find the value of k. (ii) Find P(1≤X<3)P(1 \le X < 3). (iii) Find E(X), the mean of X.

  5. Question 5

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

    27
    Two fair dice are thrown simultaneously. If X denotes the number of sixes, find the mean of X.