PYQ Vault

Day 199: CBSE Class 12 Maths

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

  1. Question 1

    Continuity and Differentiability. Asked once: 2023 (same type asked 3 times)

    25 (b)
    If x = a sin 2t, y = a(cos 2t + log tan t), then find dydx\frac{dy}{dx}.

  2. Question 2

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

    2
    Given that A−1=17[21−32]A^{-1} = \dfrac{1}{7}\begin{bmatrix} 2 & 1 \\ -3 & 2 \end{bmatrix}, matrix A is :

    Tap an option to check your answer.

  3. Question 3

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

    14
    The integrating factor of the differential equation (e−2xx−yx)dxdy=1\left(\dfrac{e^{-2\sqrt{x}}}{\sqrt{x}} - \dfrac{y}{\sqrt{x}}\right)\dfrac{dx}{dy} = 1 is :

    Tap an option to check your answer.

  4. Question 4

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 3 times)

    24
    Evaluate : sin⁡−1(sin⁡3π5)\sin^{-1}\left(\sin \frac{3\pi}{5}\right)

  5. Question 5

    Inverse Trigonometric Functions. Asked once: 2024 (same type asked 3 times)

    21 (a)
    Express tan⁡−1(cos⁡x1−sin⁡x)\tan^{-1}\left(\dfrac{\cos x}{1 - \sin x}\right), where −π2<x<π2\dfrac{-\pi}{2} < x < \dfrac{\pi}{2} in the simplest form.