Continuity and Differentiability

JEE Advanced · Mathematics · 31 past questions

6 of 31 · show all

1. Q2 2026 Paper 1

   Consider the function $f : \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \to (-\infty, \infty)$ defined by…

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2. Q3 2026 Paper 2

   Let $\mathbb{R}$ denote the set of all real numbers. Consider the polynomial function…

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3. Q4 2026 Paper 2

   For a real number $\alpha$, let $[\alpha]$ denote the greatest integer less than or equal to $\alpha$. For a…

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4. Q10 2020 Paper 1

   For a polynomial $g(x)$ with real coefficients, let $m_g$ denote the number of distinct real roots of $g(x)$.…

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5. Q13 2018 Paper 1

   For every twice differentiable function $f: \mathbb{R} \to [-2, 2]$ with $(f(0))^2 + (f'(0))^2 = 85$, which…

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6. Q14 2018 Paper 2

   Let $f_1:\mathbb{R}\to\mathbb{R}$, $f_2:\left(-\frac{\pi}{2},\frac{\pi}{2}\right)\to\mathbb{R}$…

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