PYQ Vault

Day 256: CBSE Class 12 Maths

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

  1. Question 1

    Continuity and Differentiability. Asked once: 2024 (same type asked 4 times)

    28 (b)
    If y=sin⁡(tan⁡−1ex)y = \sin (\tan^{-1} e^x), then find dydx\dfrac{dy}{dx} at x=0x = 0.

  2. Question 2

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

    5
    If ∣α34121141∣=0\begin{vmatrix} \alpha & 3 & 4 \\ 1 & 2 & 1 \\ 1 & 4 & 1 \end{vmatrix} = 0, then the value of α\alpha is

    Tap an option to check your answer.

  3. Question 3

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

    11
    The value of ∫0π/4(sin⁡2x) dx\displaystyle\int_{0}^{\pi/4} (\sin 2x)\,dx is

    Tap an option to check your answer.

  4. Question 4

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

    27 (a)
    Find ∫x+2x2−4x−5 dx\int \frac{x + 2}{\sqrt{x^2 - 4x - 5}} \, dx.

  5. Question 5

    Inverse Trigonometric Functions. Asked once: 2023 (same type asked 4 times)

    24 (a)
    Evaluate : 3sin⁡−1(12)+2cos⁡−1(32)+cos⁡−1(0)3 \sin^{-1} \left( \frac{1}{\sqrt{2}} \right) + 2 \cos^{-1} \left( \frac{\sqrt{3}}{2} \right) + \cos^{-1} (0)