PYQ Vault

Day 224: 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)

    1
    The value of ∣82712351643∣\begin{vmatrix} 8 & 2 & 7 \\ 12 & 3 & 5 \\ 16 & 4 & 3 \end{vmatrix} is :

    Tap an option to check your answer.

  2. Question 2

    Integrals. Asked once: 2022 (same type asked 4 times)

    11
    Evaluate : ∫−33x41+ex dx\displaystyle\int_{-3}^{3} \dfrac{x^4}{1 + e^x} \, dx

  3. Question 3

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

    18
    If ∫022e2x dx=∫0aex dx\displaystyle\int_0^2 2 e^{2x}\, dx = \int_0^a e^x\, dx, the value of 'a' is :

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  4. Question 4

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

    28
    Find : ∫3x+5x2+2x+4 dx\displaystyle\int \dfrac{3x + 5}{\sqrt{x^{2} + 2x + 4}}\,dx

  5. Question 5

    Inverse Trigonometric Functions. Asked once: 2024 (same type asked 4 times)

    22 (b)
    Find the domain of f(x)=cos⁡−1(1−x2)f(x) = \cos^{-1}(1 - x^2). Also, find its range.