PYQ Vault

Day 16: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked 2 times: 2022, 2025

    32 (b)
    Evaluate : ∫0π/2xcos⁡x+sin⁡x dx\displaystyle\int_{0}^{\pi/2} \dfrac{x}{\cos x + \sin x}\, dx

  2. Question 2

    Integrals. Asked 2 times: 2023, 2025

    28
    Evaluate : ∫π/2πex(1−sin⁡x1−cos⁡x)dx\int\limits_{\pi/2}^{\pi} e^x \left(\frac{1 - \sin x}{1 - \cos x}\right) dx

  3. Question 3

    Inverse Trigonometric Functions. Asked 2 times: 2023*, 2025 (* = numbers or wording changed that year)

    22
    Evaluate : tan⁡−1[2sin⁡(2cos⁡−132)]\tan^{-1}\left[2\sin\left(2\cos^{-1}\frac{\sqrt{3}}{2}\right)\right]

  4. Question 4

    Linear Programming. Asked 2 times: 2023, 2025

    14
    The corner points of the feasible region in graphical representation of a L.P.P. are (2, 72), (15, 20) and (40, 15). If Z=18x+9yZ = 18x + 9y be the objective function, then

    Tap an option to check your answer.

  5. Question 5

    Relations and Functions. Asked 2 times: 2024*, 2025 (* = numbers or wording changed that year)

    27
    Let R be a relation on set of real numbers R\mathbb{R} defined as {(x,y):x−y+3 is an irrational number, x,y∈R}\{(x, y) : x - y + \sqrt{3} \text{ is an irrational number},\ x, y \in \mathbb{R}\} Verify R for reflexivity, symmetry and transitivity.