Continuity and Differentiability

JEE Main · Mathematics · 5 past questions

These are the board's own papers. 177 more board questions reprinted in the books we use in class are for signed-in students: sign in.

1. Q1 2026 2 Apr Shift 2

   The number of points in the interval $[2,4]$, at which the function $f(x)=\left[x^2-x-\frac12\right]$, where…

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2. Q2 2026 4 Apr Shift 1

   If…

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3. Q3 2026 4 Apr Shift 1

   The number of points, at which the function $f(x)=\max\{6x,\,2+3x^2\}+|x-1|\cos\left|x^2-\frac14\right|$…

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4. Q4 2026 4 Apr Shift 2

   Let $f(x)=\begin{cases} e^{x-1}, & x<0 \\ x^2-5x+6, & x\ge 0 \end{cases}$ and $g(x)=f(|x|)+|f(x)|$. If the…

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5. Q5 2026 5 Apr Shift 2

   Let $f(x)$ and $g(x)$ be twice differentiable functions satisfying $f''(x) = g''(x)$ for all…

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