PYQ Vault

Day 213: CBSE Class 12 Maths

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

  1. Question 1

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

    11
    Direction cosines of the line x−12=1−y3=2z−112\frac{x - 1}{2} = \frac{1 - y}{3} = \frac{2z - 1}{12} are :

    Tap an option to check your answer.

  2. Question 2

    Vector Algebra. Asked once: 2022 (same type asked 4 times)

    7 (b)
    The two adjacent sides of a parallelogram are represented by 2i^−4j^−5k^2\hat{i} - 4\hat{j} - 5\hat{k} and 2i^+2j^+3k^2\hat{i} + 2\hat{j} + 3\hat{k}. Find the unit vectors parallel to its diagonals. Using the diagonal vectors, find the area of the parallelogram also.

  3. Question 3

    Vector Algebra. Asked once: 2023 (same type asked 4 times)

    24
    If the projection of the vector i^+j^+k^\hat{i} + \hat{j} + \hat{k} on the vector pi^+j^−2k^p\hat{i} + \hat{j} - 2\hat{k} is 13\dfrac{1}{3}, then find the value(s) of p.

  4. Question 4

    Vector Algebra. Asked once: 2024 (same type asked 4 times)

    8
    For any two vectors a⃗\vec{a} and b⃗\vec{b}, which of the following statements is always true ?

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  5. Question 5

    Application of Integrals. Asked once: 2022 (same type asked 4 times)

    13 (b)
    If the area of the region bounded by the curve y2=4axy^2 = 4ax and the line x=4ax = 4a is 2563\frac{256}{3} sq. units, then using integration, find the value of a, where a>0a > 0.