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Limits Continuity and Differentiability · 2017 · Shift 1

3 Mathematics questions from this JEE Advanced paper

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JEE Advanced
Papers
2017 · Shift 1
Mathematics
Limits Continuity and Differentiability

Limits Continuity and Differentiability · 2017 · Shift 1

3 Mathematics questions from this JEE Advanced paper

Q20.Let f : R $\to$ (0, 1) be a continuous function. Then, which of the following function(s) has (have) the value zero at some point in the interval (0, 1) ?
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q23.Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function $f (x) = x cos (π (x + [x]))$ is discontinuous?
Mathematics · Limits Continuity and Differentiability · Multiple correct
Q28.Let f : R $\to$ R be a differentiable function such that f(0) = 0, $f (\frac{π}{2}) = 3$ and f'(0) = 1. If $g (x) = x \int π /2 [f^{'} (t) cosec t - cot t cosec t f (t)] d t$ for $x \in (0, \frac{π}{2}]$ …
Mathematics · Limits Continuity and Differentiability · Numerical