PYQ Vault

Day 210: CBSE Class 12 Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 4 times)

    5
    The value of cos⁡(π6+cot⁡−1(−3))\cos\left(\dfrac{\pi}{6} + \cot^{-1}(-\sqrt{3})\right) is

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  2. Question 2

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

    24 (b)
    Draw the graph of f(x)=sin⁡−1xf(x) = \sin^{-1} x, x∈[−12,12]x \in \left[ -\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}} \right]. Also, write range of f(x).

  3. Question 3

    Linear Programming. Asked once: 2026 (same type asked 4 times)

    29
    Solve the following Linear Programming Problem graphically : Maximize Z=2x5+3y10Z = \dfrac{2x}{5} + \dfrac{3y}{10} subject to constraints 2x+y≤10002x + y \le 1000 x+y≤800x + y \le 800 x, y≥0x,\ y \ge 0.

  4. Question 4

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

    28
    Solve the following linear programming problem graphically : Minimize z=600x+400yz = 600x + 400y, subject to the constraints x+y≥8x + y \ge 8 x+2y≤16x + 2y \le 16 4x+y≤294x + y \le 29 x,y≥0x, y \ge 0.

  5. Question 5

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

    16
    The maximum value of Z=4x+yZ = 4x + y for a L.P.P. whose feasible region is given below is :

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