PYQ Vault

Day 92: CBSE Class 12 Maths

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

  1. Question 1

    Three Dimensional Geometry. Asked once: 2026 (same type asked 2 times)

    16
    If l1,m1,n1l_1, m_1, n_1 and l2,m2,n2l_2, m_2, n_2 are direction cosines of lines L1L_1 and L2L_2 respectively and θ\theta is the acute angle between them, then :

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  2. Question 2

    Vector Algebra. Asked once: 2026 (same type asked 2 times)

    24 (b)
    If A, B and C be three non-collinear points such that AB→=i^+2j^−k^\overrightarrow{AB} = \hat{i} + 2\hat{j} - \hat{k} and AC→=2i^−3j^\overrightarrow{AC} = 2\hat{i} - 3\hat{j}, then find the area of Δ\Delta ABC.

  3. Question 3

    Vector Algebra. Asked once: 2023 (same type asked 2 times)

    1
    If the angle between the vectors a⃗\vec{a} and b⃗\vec{b} is π4\frac{\pi}{4} and ∣a⃗×b⃗∣=1| \vec{a} \times \vec{b} | = 1, then a⃗⋅b⃗\vec{a} \cdot \vec{b} is equal to

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  4. Question 4

    Vector Algebra. Asked once: 2026 (same type asked 2 times)

    14
    Vector of magnitude 3 making equal angles with xx and y axes and perpendicular to z axis is

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  5. Question 5

    Vector Algebra. Asked once: 2023 (same type asked 2 times)

    9
    Position vector of the mid-point of line segment AB is 3i^+2j^−3k^3\hat{i} + 2\hat{j} - 3\hat{k}. If position vector of the point A is 2i^+3j^−4k^2\hat{i} + 3\hat{j} - 4\hat{k}, then position vector of the point B is

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