PYQ Vault

Day 145: 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
    In the following probability distribution, the value of p is :
    X0123
    P(X)pp0.32p

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  2. Question 2

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

    29 (a)
    Find the probability distribution of the number of boys in families having three children, assuming equal probability for a boy and a girl.

  3. Question 3

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

    14
    The Cartesian equation of a line passing through the point with position vector a⃗=i^−j^\vec{a} = \hat{i} - \hat{j} and parallel to the line r⃗=i^+k^+μ(2i^−j^)\vec{r} = \hat{i} + \hat{k} + \mu(2\hat{i} - \hat{j}), is

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  4. Question 4

    Three Dimensional Geometry. Asked once: 2023 (same type asked 4 times)

    15
    If a line makes angles of 90∘90^{\circ}, 135∘135^{\circ} and 45∘45^{\circ} with the xx, y and z axes respectively, then its direction cosines are

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  5. Question 5

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

    7
    The least value of f(x)=x3−12xf(x) = x^3 - 12x, x∈[0,3]x \in [0, 3] is

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