PYQ Vault

Day 81: 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 3 times)

    2
    The length of perpendicular drawn from the point (3, 4, 2) on the line x0=y0=z1\frac{x}{0} = \frac{y}{0} = \frac{z}{1} is

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  2. Question 2

    Three Dimensional Geometry. Asked once: 2025 (same type asked 3 times)

    25
    Find the angle at which the given lines are inclined to each other : l1:x−52=y+31=z−1−3l_1 : \dfrac{x - 5}{2} = \dfrac{y + 3}{1} = \dfrac{z - 1}{-3} l2:x3=y−12=z+5−1l_2 : \dfrac{x}{3} = \dfrac{y - 1}{2} = \dfrac{z + 5}{-1}

  3. Question 3

    Vector Algebra. Asked once: 2026 (same type asked 3 times)

    17
    If vectors a⃗=3i^+2j^+λk^\vec{a} = 3\hat{i} + 2\hat{j} + \lambda\hat{k} and b⃗=2i^−4j^+5k^\vec{b} = 2\hat{i} - 4\hat{j} + 5\hat{k}, represent the two strips of the Red Cross sign placed outside a doctor's clinic, then the value of λ\lambda is :

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  4. Question 4

    Vector Algebra. Asked once: 2025 (same type asked 3 times)

    2
    If α⃗=i^−4j^+9k^\vec{\alpha} = \hat{i} - 4\hat{j} + 9\hat{k} and β⃗=2i^−8j^+λk^\vec{\beta} = 2\hat{i} - 8\hat{j} + \lambda\hat{k} are two mutually parallel vectors, then λ\lambda is equal to :

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  5. Question 5

    Vector Algebra. Asked once: 2025 (same type asked 3 times)

    25 (b)
    Find a vector of magnitude 21 units in the direction opposite to that of AB→\overrightarrow{AB} where A and B are the points A(2, 1, 3) and B(8, -1, 0) respectively.