PYQ Vault

Day 264: 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)

    30
    Find : ∫1412x+1−2x−1 dx\int_{1}^{4} \frac{1}{\sqrt{2x+1} - \sqrt{2x-1}} \, dx

  2. Question 2

    Integrals. Asked once: 2022 (same type asked 4 times)

    9 (a)
    Find : ∫x3+xx4−9 dx\int \frac{x^3 + x}{x^4 - 9}\,dx.

  3. Question 3

    Linear Programming. Asked once: 2024 (same type asked 4 times)

    28
    Solve the following linear programming problem graphically : Maximise z=5x+4yz = 5x + 4y subject to the constraints x+2y≥4x + 2y \geq 4 3x+y≤63x + y \leq 6 x+y≤4x + y \leq 4 x,y≥0x, y \geq 0

  4. Question 4

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

    3
    A and B are skew-symmetric matrices of same order. AB is symmetric, if :

    Tap an option to check your answer.

  5. Question 5

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

    28
    Evaluate ∫log⁡2log⁡31(ex+e−x)(ex−e−x) dx\int\limits_{\log \sqrt{2}}^{\log \sqrt{3}} \frac{1}{(e^x + e^{-x})(e^x - e^{-x})} \, dx