PYQ Vault

Day 251: 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)

    22 (b)
    If x1/3+y1/3=1x^{1/3} + y^{1/3} = 1, find dydx\frac{dy}{dx} at the point (18,18)\left( \frac{1}{8}, \frac{1}{8} \right).

  2. Question 2

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

    13
    The derivative of tan⁡−1(x2)\tan^{-1}(x^2) w.r.t. x is :

    Tap an option to check your answer.

  3. Question 3

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

    5
    The value of the determinant ∣2711111081∣\begin{vmatrix} 2 & 7 & 1 \\ 1 & 1 & 1 \\ 10 & 8 & 1 \end{vmatrix} is :

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  4. Question 4

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

    3
    ∫024−x2 dx\int_{0}^{2} \sqrt{4 - x^2} \, dx equals :

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  5. Question 5

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

    26
    Find : ∫x2x2+6x+12 dx\displaystyle\int \dfrac{x^2}{x^2 + 6x + 12}\, dx