PYQ Vault

Day 225: CBSE Class 12 Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 2024 (same type asked 4 times)

    21
    If a =sin⁡−1(22)+cos⁡−1(−12)= \sin^{-1}\left(\dfrac{\sqrt{2}}{2}\right) + \cos^{-1}\left(-\dfrac{1}{2}\right) and b =tan⁡−1(3)−cot⁡−1(−13)= \tan^{-1}\left(\sqrt{3}\right) - \cot^{-1}\left(-\dfrac{1}{\sqrt{3}}\right) then find the value of a + b.

  2. Question 2

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

    21 (b)
    Draw the graph of cos⁡−1x\cos^{-1} x, where x∈[−1,0]x \in [-1, 0]. Also, write its range.

  3. Question 3

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

    34
    Solve the following Linear Programming Problem graphically : Maximize Z=8x+8yZ = 8x + 8y subject to the constraints x−20≤0x - 20 \le 0 2x+3y≤1202x + 3y \le 120 2x+y≤602x + y \le 60 x≥0, y≥0x \ge 0,\ y \ge 0

  4. Question 4

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

    32
    Solve the following Linear Programming Problem graphically : Minimise : Z=60x+80yZ = 60x + 80y subject to constraints : 3x+4y≥83x + 4y \ge 8 5x+2y≥115x + 2y \ge 11 x,y≥0x, y \ge 0

  5. Question 5

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

    17
    The objective function Z=ax+byZ = ax + by of an LPP has maximum value 42 at (4, 6) and minimum value 19 at (3, 2). Which of the following is true ?

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