PYQ Vault

Day 156: CBSE Class 12 Maths

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

  1. Question 1

    Vector Algebra. Asked once: 2023 (same type asked 3 times)

    10
    The sine of the angle between the vectors a⃗=3i^+j^+2k^\vec{a} = 3\hat{i} + \hat{j} + 2\hat{k} and b⃗=i^+j^+2k^\vec{b} = \hat{i} + \hat{j} + 2\hat{k} is :

    Tap an option to check your answer.

  2. Question 2

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

    29 (b)
    During a cricket match, the position of the bowler, the wicket keeper and the leg slip fielder are in a line given by B⃗=2i^+8j^\vec{B} = 2\hat{i} + 8\hat{j}, W⃗=6i^+12j^\vec{W} = 6\hat{i} + 12\hat{j} and F⃗=12i^+18j^\vec{F} = 12\hat{i} + 18\hat{j} respectively. Calculate the ratio in which the wicketkeeper divides the line segment joining the bowler and the leg slip fielder.

  3. Question 3

    Probability. Asked once: 2022 (same type asked 3 times)

    12
    A man is known to speak truth 7 out of 10 times. He threw a pair of dice and reports that doublet appeared. Find the probability that it was actually a doublet.

  4. Question 4

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

    2
    If A⋅(adj A)=[300030003]A \cdot (\text{adj } A) = \begin{bmatrix} 3 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3 \end{bmatrix}, then the value of ∣A∣+∣adj A∣|A| + |\text{adj } A| is equal to :

    Tap an option to check your answer.

  5. Question 5

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

    26
    Using determinants, find the area of ΔPQR\Delta PQR with vertices P(3, 1), Q(9, 3) and R(5, 7). Also, find the equation of line PQ using determinants.