PYQ Vault

Day 237: CBSE Class 12 Maths

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

  1. Question 1

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

    26
    Find : ∫exe2x−4ex−5 dx\int \frac{e^x}{\sqrt{e^{2x} - 4e^x - 5}} \, dx

  2. Question 2

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

    22 (a)
    Find the value of sin⁡−1(−12)+cos⁡−1(−32)+cot⁡−1(tan⁡4π3)\sin^{-1}\left(-\dfrac{1}{2}\right) + \cos^{-1}\left(-\dfrac{\sqrt{3}}{2}\right) + \cot^{-1}\left(\tan \dfrac{4\pi}{3}\right).

  3. Question 3

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

    27
    Solve the following linear programming problem graphically : Maximise Z=x+2yZ = x + 2y Subject to the constraints : x−y≥0x - y \geq 0 x−2y≥−2x - 2y \geq -2 x≥0x \geq 0, y≥0y \geq 0

  4. Question 4

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

    30
    Determine graphically the minimum value of the following objective function : z = 500x + 400y subject to constraints x+y≤200x + y \leq 200, x≥20x \geq 20, y≥4xy \geq 4x, y≥0y \geq 0.

  5. Question 5

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

    18
    The corner points of the feasible region of a linear programming problem are (0, 4), (8, 0) and (203,43)\left(\frac{20}{3}, \frac{4}{3}\right). If Z=30x+24yZ = 30x + 24y is the objective function, then (maximum value of Z −- minimum value of Z) is equal to

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