PYQ Vault

Day 209: CBSE Class 12 Maths

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

  1. Question 1

    Determinants. Asked once: 2024 (same type asked 4 times)

    12
    ∣x+1x−1x2+x+1x2−x+1∣\begin{vmatrix} x + 1 & x - 1 \\ x^2 + x + 1 & x^2 - x + 1 \end{vmatrix} is equal to :

    Tap an option to check your answer.

  2. Question 2

    Integrals. Asked once: 2023 (same type asked 4 times)

    28 (a)
    Evaluate : ∫−π/4π/4cos⁡2x1+cos⁡2x dx\displaystyle\int_{-\pi/4}^{\pi/4} \dfrac{\cos 2x}{1 + \cos 2x}\,dx

  3. Question 3

    Integrals. Asked once: 2024 (same type asked 4 times)

    8
    The value of ∫03dx9−x2\displaystyle\int_{0}^{3} \dfrac{dx}{\sqrt{9 - x^2}} is :

    Tap an option to check your answer.

  4. Question 4

    Integrals. Asked once: 2024 (same type asked 4 times)

    23 (b)
    Given ddxF(x)=12x−x2\dfrac{d}{dx} F(x) = \dfrac{1}{\sqrt{2x - x^2}} and F(1)=0F(1) = 0, find F(x)F(x).

  5. Question 5

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

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