Mathematics · 2022
JEE Main · 30 June 2022, Shift 1 · Q24
If for some α>0, the area of the region {(x, y):|x+α| ≤ y ≤ 2-|x|} is equal to 3/2, then the area of the region {(x, y): 0 ≤ y ≤ x+2 α,|x| ≤ 1} is…
If for some $\displaystyle \alpha>0$, the area of the region
$$\{(x, y):|x+\alpha| \leq y \leq 2-|x|\}
$$
is equal to $\displaystyle \frac{3}{2}$, then the area of the region
$$\{(x, y): 0 \leq y \leq x+2 \alpha,|x| \leq 1\}
$$
is equal to \_\_\_\_.
Official answer
4
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.