PYQ Vault

Day 2: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked 3 times: 2023, 2024, 2026* (* = numbers or wording changed that year)

    27 (b)
    Find : ∫x2(x2+9) (x2+16) dx\int \frac{x^2}{(x^2 + 9) \, (x^2 + 16)} \, dx

  2. Question 2

    Integrals. Asked 3 times: 2024*, 2025*, 2026 (* = numbers or wording changed that year)

    9
    If ∫02a11+4x2 dx=π6\displaystyle\int_{0}^{2a} \dfrac{1}{1 + 4x^2}\, dx = \dfrac{\pi}{6}, then the value of a is

    Tap an option to check your answer.

  3. Question 3

    Linear Programming. Asked 3 times: 2023, 2024*, 2026 (* = numbers or wording changed that year)

    33
    Solve the following Linear Programming Problem graphically : Maximise Z=600x+400yZ = 600x + 400y subject to the constraints x+2y≤12x + 2y \le 12 4x+5y≥204x + 5y \ge 20 2x+y≤122x + y \le 12 x, y≥0x,\ y \ge 0

  4. Question 4

    Linear Programming. Asked 3 times: 2023*, 2025*, 2026 (* = numbers or wording changed that year)

    29
    Solve the following Linear Programming Problem graphically : Maximise Z=200x+120yZ = 200x + 120y subject to the constraints x+y≤300x + y \leq 300 3x+y≤6003x + y \leq 600 x−y≥−100x - y \geq -100 x,y≥0x, y \geq 0

  5. Question 5

    Relations and Functions. Asked 3 times: 2024, 2025, 2026

    26 (a)
    Let A=R−{3}A = \mathbb{R} - \{3\} and B=R−{1}B = \mathbb{R} - \{1\}. A function f:A→Bf : A \to B is defined by f(x)=(x−2x−3)f(x) = \left(\dfrac{x - 2}{x - 3}\right). Find whether f is one-one and onto.