PYQ Vault

Day 167: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked once: 2025 (same type asked 4 times)

    3
    If ∫0ax dx≤a2+6\displaystyle\int_0^{a} x\,dx \le \dfrac{a}{2} + 6, then

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  2. Question 2

    Integrals. Asked once: 2026 (same type asked 4 times)

    27
    Find : ∫3x−1x2−4x dx\displaystyle\int \dfrac{3x - 1}{\sqrt{x^2 - 4x}}\, dx

  3. Question 3

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

    21
    Find the domain of the function f(x)=cos⁡−1(x2−4)f(x) = \cos^{-1}(x^2 - 4).

  4. Question 4

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

    7
    The principal value of cot⁡−1(−13)\cot^{-1}\left(-\dfrac{1}{\sqrt{3}}\right) is :

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  5. Question 5

    Inverse Trigonometric Functions. Asked once: 2023 (same type asked 4 times)

    21
    Draw the graph of the principal branch of the function f(x)=cos⁡−1xf(x) = \cos^{-1} x.