PYQ Vault

Day 191: 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)

    27 (b)
    Evaluate : ∫−22x21+5x dx\displaystyle\int_{-2}^{2} \dfrac{x^2}{1 + 5^x}\, dx

  2. Question 2

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

    8
    The value of ∫0πtan⁡2(θ3)dθ\displaystyle\int_{0}^{\pi} \tan^{2}\left(\dfrac{\theta}{3}\right) d\theta is :

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  3. Question 3

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

    24 (b)
    Find : ∫15+4x−x2 dx\displaystyle\int \dfrac{1}{5 + 4x - x^2}\, \mathrm{d}x

  4. Question 4

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 4 times)

    1
    Domain of sin⁡−1(2x2−3)\sin^{-1}(2x^2 - 3) is :

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  5. Question 5

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 4 times)

    5
    [sec⁡−1(−2)−tan⁡−1(13)]\left[ \sec^{-1}(-\sqrt{2}) - \tan^{-1}\left(\dfrac{1}{\sqrt{3}}\right) \right] is equal to :

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