PYQ Vault

Day 74: CBSE Class 12 Maths

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

  1. Question 1

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

    11
    The probability distribution of a random variable X is given by :
    X−4-4−3-3−2-2−1-100
    P(X)0.10.10.20.20.30.30.20.20.20.2
    Then E(X) of distribution is

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  2. Question 2

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

    31 (b)
    A person has a fruit box that contains 6 apples and 4 oranges. He picks out a fruit three times, one after the other, after replacing the previous one in the box. Find : (i) The probability distribution of the number of oranges he draws. (ii) The expectation of the random variable (number of oranges).

  3. Question 3

    Three Dimensional Geometry. Asked once: 2025 (same type asked 4 times)

    30 (b)
    Let the position vectors of the points A, B and C be 3i^−j^−2k^3\hat{i} - \hat{j} - 2\hat{k}, i^+2j^−k^\hat{i} + 2\hat{j} - \hat{k} and i^+5j^+3k^\hat{i} + 5\hat{j} + 3\hat{k} respectively. Find the vector and cartesian equations of the line passing through A and parallel to line BC.

  4. Question 4

    Three Dimensional Geometry. Asked once: 2024 (same type asked 4 times)

    16
    The angle which the line x1=y−1=z0\dfrac{x}{1} = \dfrac{y}{-1} = \dfrac{z}{0} makes with the positive direction of Y-axis is :

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  5. Question 5

    Application of Derivatives. Asked once: 2026 (same type asked 3 times)

    23 (a)
    Find the absolute maximum value of f(x)=cos⁡x+sin⁡2xf(x) = \cos x + \sin^2 x, x∈[0,π]x \in [0, \pi]