PYQ Vault

Day 154: CBSE Class 12 Maths

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

  1. Question 1

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

    29 (a)
    Find : ∫2+sin⁡2x1+cos⁡2x ex dx\int \dfrac{2 + \sin 2x}{1 + \cos 2x}\, e^x\, dx

  2. Question 2

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

    5
    If ddx[f(x)]=ax+b\frac{d}{dx}[f(x)] = ax + b and f(0)=0f(0) = 0, then f(x)f(x) is equal to

    Tap an option to check your answer.

  3. Question 3

    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) : The range of the function f(x)=2sin⁡−1x+3π2f(x) = 2 \sin^{-1} x + \frac{3\pi}{2}, where x∈[−1,1]x \in [-1, 1], is [π2,5π2]\left[\frac{\pi}{2}, \frac{5\pi}{2}\right]. Reason (R) : The range of the principal value branch of sin⁡−1(x)\sin^{-1}(x) is [0,π][0, \pi].

    Tap an option to check your answer.

  4. Question 4

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

    1
    If x[12]+y[25]=[49]x\begin{bmatrix} 1 \\ 2 \end{bmatrix} + y\begin{bmatrix} 2 \\ 5 \end{bmatrix} = \begin{bmatrix} 4 \\ 9 \end{bmatrix}, then :

    Tap an option to check your answer.

  5. Question 5

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

    5
    Given that [1x][40−20]=0[1 \quad x]\begin{bmatrix} 4 & 0 \\ -2 & 0 \end{bmatrix} = 0, the value of xx is :

    Tap an option to check your answer.