Mathematics · 2020
JEE Main · 5 September 2020, Shift 2 · Q63
The area (in sq. units) of the region A ={(x, y):(x-1)[x] ≤ y ≤ 2 √ x, 0 ≤ x ≤ 2}, where [ t ] denotes the greatest integer function, is:
The area (in sq. units) of the region $\displaystyle \mathrm{A}=\{(x, y):(x-1)[x] \leq y \leq 2 \sqrt{x}, 0 \leq x \leq 2\}$, where $\displaystyle [\mathrm{t}]$ denotes the greatest integer function, is :
Official answer
(4)
$\displaystyle \frac{8}{3} \sqrt{2}-\frac{1}{2}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.