PYQ Vault

Day 29: CBSE Class 12 Maths

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

  1. Question 1

    Determinants. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    5
    One of the values of xx for which ∣cos⁡xsin⁡x−cos⁡xsin⁡x∣=1\begin{vmatrix} \cos x & \sin x \\ -\cos x & \sin x \end{vmatrix} = 1 is

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  2. Question 2

    Differential Equations. This type asked 4 times: 2022, 2023, 2024, 2026. This one: 2026

    29 (b)
    Find the general solution of the differential equation : ylog⁡ydxdy+x=2yy \log y \dfrac{dx}{dy} + x = \dfrac{2}{y}.

  3. Question 3

    Integrals. This type asked 4 times: 2022, 2023, 2024, 2026. This one: 2026

    9
    The value of ∫−11x3x2+2∣x∣+1 dx\int_{-1}^{1} \frac{x^3}{x^2 + 2\left| x \right| + 1}\,dx is

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  4. Question 4

    Integrals. This type asked 4 times: 2023, 2024, 2025, 2026. This one: 2026

    11
    If ∫01(6x2−4x+k) dx=0\displaystyle\int_{0}^{1} (6x^2 - 4x + k)\,dx = 0, then the value of k is :

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  5. Question 5

    Integrals. This type asked 4 times: 2022, 2023, 2024, 2026. This one: 2026

    30
    Find : ∫2x+16x+x2 dx\displaystyle\int \dfrac{2x + 1}{\sqrt{6x + x^2}}\, dx