PYQ Vault

Day 122: CBSE Class 12 Maths

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

  1. Question 1

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

    10
    Let f′(x)=3(x2+2x)−4x3+5f'(x) = 3(x^2 + 2x) - \dfrac{4}{x^3} + 5, f(1)=0f(1) = 0. Then, f(x) is :

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  2. Question 2

    Inverse Trigonometric Functions. Asked once: 2023 (same type asked 3 times)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : Maximum value of (cos⁡−1x)2(\cos^{-1} x)^2 is π2\pi^2. Reason (R) : Range of the principal value branch of cos⁡−1x\cos^{-1} x is [−π2,π2]\left[\frac{-\pi}{2}, \frac{\pi}{2}\right].

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  3. Question 3

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

    10
    Number of symmetric matrices of order 3×33 \times 3 with each entry 1 or −1-1 is

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  4. Question 4

    Matrices. Asked once: 2024 (same type asked 3 times)

    5
    If [x+y25xy]=[6258]\begin{bmatrix} x + y & 2 \\ 5 & xy \end{bmatrix} = \begin{bmatrix} 6 & 2 \\ 5 & 8 \end{bmatrix}, then the value of (24x+24y)\left( \frac{24}{x} + \frac{24}{y} \right) is :

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  5. Question 5

    Matrices. Asked once: 2024 (same type asked 3 times)

    5
    If [x20][5−1x]=[31][−2x]\begin{bmatrix} x & 2 & 0 \end{bmatrix} \begin{bmatrix} 5 \\ -1 \\ x \end{bmatrix} = \begin{bmatrix} 3 & 1 \end{bmatrix} \begin{bmatrix} -2 \\ x \end{bmatrix}, then value of xx is :

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