PYQ Vault

Day 216: CBSE Class 12 Maths

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

  1. Question 1

    Differential Equations. Asked once: 2025 (same type asked 3 times)

    14
    The integrating factor of the differential equation dxdy=xlog⁡x2xlog⁡x−y\dfrac{dx}{dy} = \dfrac{x \log x}{\dfrac{2}{x} \log x - y} is :

    Tap an option to check your answer.

  2. Question 2

    Inverse Trigonometric Functions. Asked once: 2023 (same type asked 3 times)

    21 (b)
    Evaluate : cos⁡−1[cos⁡(−7π3)]\cos^{-1}\left[\cos\left(-\dfrac{7\pi}{3}\right)\right]

  3. Question 3

    Inverse Trigonometric Functions. Asked once: 2024 (same type asked 3 times)

    21
    Simplify : cos⁡−1x+cos⁡−1[x2+3−3x22]\cos^{-1}x + \cos^{-1}\left[\dfrac{x}{2} + \dfrac{\sqrt{3 - 3x^2}}{2}\right] ; 12≤x≤1\dfrac{1}{2} \le x \le 1

  4. Question 4

    Linear Programming. Asked once: 2024 (same type asked 3 times)

    10
    The restrictions imposed on decision variables involved in an objective function of a linear programming problem are called :

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  5. Question 5

    Matrices. Asked once: 2025 (same type asked 3 times)

    2
    If A and B are square matrices of same order such that AB = A and BA = B, then A2+B2A^2 + B^2 is equal to :

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