PYQ Vault

Day 183: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked once: 2025 (same type asked 2 times)

    14
    ∫ax1−a2x dx\displaystyle\int \dfrac{a^x}{\sqrt{1 - a^{2x}}}\, dx is equal to :

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  2. Question 2

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 2 times)

    23 (b)
    Find domain of sin⁡−1x−1\sin^{-1}\sqrt{x - 1}.
  3. Question 3

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 2 times)

    3
    The graph shown below depicts :

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  4. Question 4

    Inverse Trigonometric Functions. Asked once: 2024 (same type asked 2 times)

    22
    Evaluate : cot⁡2{cosec⁡−13}+sin⁡2{cos⁡−1(13)}\cot^2\left\{\operatorname{cosec}^{-1} 3\right\} + \sin^2\left\{\cos^{-1}\left(\dfrac{1}{3}\right)\right\}
  5. Question 5

    Matrices. Asked once: 2025 (same type asked 2 times)

    10
    The matrix [01−2−10−7270]\begin{bmatrix} 0 & 1 & -2 \\ -1 & 0 & -7 \\ 2 & 7 & 0 \end{bmatrix} is a :

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