Continuity and Differentiability

CBSE Class 12 · Mathematics · 41 past questions

12 of 41 · show all

1. Q1 2026

   Check whether function $f(x)$ defined as…

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2. Q6 2026

   The value of k for which the function…

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3. Q11 2025

   If $f(x) = |x| + |x - 1|$, then which of the following is correct ?

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4. Q13 2025

   Assertion (A) : $f(x)=\begin{cases}3x-8, & x\le 5\\ 2k, & x>5\end{cases}$ is continuous at $x = 5$ for…

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5. Q20 2025

   If $f(x) = \begin{cases} 3x - 2, & 0 < x \le 1 \\ 2x^2 + ax, & 1 < x < 2 \end{cases}$ is continuous for…

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6. Q21 2025

   The function f defined by…

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7. Q23 2025

   Find k so that…

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8. Q24 2024

   Which of the following statements is true for the function…

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9. Q27 2024

   A function $f(x) = |1 - x + |x||$ is…

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10. Q31 2024

    The number of points of discontinuity of…

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11. Q38 2023

    The value of k for which $f(x) = \begin{cases} 3x+5, & x \ge 2 \\ kx^2, & x < 2 \end{cases}$ is a continuous…

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12. Q40 2023

    The function $f(x) = x|x|$ is

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