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Continuity and Differentiability

JEE Advanced · Mathematics · 31 past questions

3 of 31 · show all

  1. Q9 2020 Paper 1
    Let the function $f:\mathbb{R}\to\mathbb{R}$ be defined by $f(x)=x^3-x^2+(x-1)\sin x$ and let…
  2. Q10 2020 Paper 1
    For a polynomial $g(x)$ with real coefficients, let $m_g$ denote the number of distinct real roots of $g(x)$.…
  3. Q11 2020 Paper 2
    Let the functions $f:(-1,1) \to \mathbb{R}$ and $g:(-1,1) \to (-1,1)$ be defined by…