PYQ Vault

Day 116: 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=−(1+sin⁡x)x+ycos⁡x\dfrac{dx}{dy} = \dfrac{-(1 + \sin x)}{x + y \cos x} is :

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  2. Question 2

    Inverse Trigonometric Functions. Asked once: 2026 (same type asked 3 times)

    21
    Evaluate sin⁡[cos⁡−1cos⁡(7π6)]\sin\left[\cos^{-1}\cos\left(\dfrac{7\pi}{6}\right)\right].

  3. Question 3

    Inverse Trigonometric Functions. Asked once: 2026 (same type asked 3 times)

    25 (a)
    Simplify : cot⁡−11+cos⁡2x1−cos⁡2x\cot^{-1} \sqrt{\frac{1 + \cos 2x}{1 - \cos 2x}}, x∈(0,π2)x \in \left( 0, \frac{\pi}{2} \right).

  4. Question 4

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

    16
    If the feasible region of a linear programming problem with objective function Z=ax+byZ = ax + by, is bounded, then which of the following is correct ?

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  5. Question 5

    Matrices. Asked once: 2023 (same type asked 3 times)

    4
    If a matrix A=[123]A = [1 \quad 2 \quad 3], then the matrix AA' (where A' is the transpose of A) is :

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