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Day 124: CBSE Class 12 Maths

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

  1. Question 1

    Vector Algebra. Asked once: 2024 (same type asked 3 times)

    29
    The position vectors of vertices of Δ\Delta ABC are A(2i^−j^+k^)A(2\hat{i} - \hat{j} + \hat{k}), B(i^−3j^−5k^)B(\hat{i} - 3\hat{j} - 5\hat{k}) and C(3i^−4j^−4k^)C(3\hat{i} - 4\hat{j} - 4\hat{k}). Find all the angles of Δ\Delta ABC.

  2. Question 2

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

    25
    A man needs to hang two lanterns on a straight wire whose end points have coordinates A(4,1,−2)A(4, 1, -2) and B(6,2,−3)B(6, 2, -3). Find the coordinates of the points where he hangs the lanterns such that these points trisect the wire AB.

  3. Question 3

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

    13
    In a factory, machine A produces 30% of total output, machine B produces 25% and the machine C produces the remaining output. The defective items produced by machines A, B and C are 1%, 1.2%, 2% respectively. An item is picked at random from a day's output and found to be defective. Find the probability that it was produced by machine B?

  4. Question 4

    Application of Integrals. Asked once: 2023 (same type asked 2 times)

    33
    Using Integration, find the area of triangle whose vertices are (−1-1, 1), (0, 5) and (3, 2).

  5. Question 5

    Application of Integrals. Asked once: 2025 (same type asked 2 times)

    15
    The area of the shaded region (figure) represented by the curves y=x2y = x^2, 0≤x≤20 \le x \le 2 and y-axis is given by

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