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Mathematics · 2023

JEE Main · 30 January 2023, Shift 2 · Q86

Let A be the area of the region {(x, y): y ≥ x^2, y ≥(1-x)^2, y ≤ 2 x(1-x)}. Then 540 A is equal to ____.

Let $\displaystyle A$ be the area of the region $\displaystyle \left\{(x, y): y \geq x^2, y \geq(1-x)^2, y \leq 2 x(1-x)\right\}$. Then $\displaystyle 540$ A is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.