PYQ Vault

Day 252: CBSE Class 12 Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 2023 (same type asked 4 times)

    2
    sin⁡[π3+sin⁡−1(12)]\sin\left[\dfrac{\pi}{3} + \sin^{-1}\left(\dfrac{1}{2}\right)\right] is equal to

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  2. Question 2

    Linear Programming. Asked once: 2025 (same type asked 4 times)

    28
    Solve the following linear programming problem graphically : Minimise Z=x−5yZ = x - 5y subject to the constraints : x−y≥0x - y \ge 0 −x+2y≥2-x + 2y \ge 2 x≥3, y≤4, y≥0x \ge 3,\ y \le 4,\ y \ge 0
  3. Question 3

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

    1
    If A is a 3×43 \times 4 matrix and B is a matrix such that A'B and AB' are both defined, then the order of the matrix B is :

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  4. Question 4

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

    12
    If A and B are two skew symmetric matrices, then (AB+BA)(AB + BA) is :

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  5. Question 5

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

    11
    a⃗\vec{a} and b⃗\vec{b} are two non-zero vectors such that the projection of a⃗\vec{a} on b⃗\vec{b} is 0. The angle between a⃗\vec{a} and b⃗\vec{b} is :

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