Mathematics · 2021
JEE Main · 26 February 2021, Shift 2 · Q63
Let A_1 be the area of the region bounded by the curves y= sin x, y= cos x and y -axis in the first quadrant. Also, let A_2 be the area of the region…
Let $\displaystyle \mathrm{A}_1$ be the area of the region bounded by the curves $\displaystyle y=\sin x, y=\cos x$ and $\displaystyle y$-axis in the first quadrant. Also, let $\displaystyle \mathrm{A}_2$ be the area of the region bounded by the curves $\displaystyle y=\sin x, y=\cos x$, $\displaystyle x$-axis and $\displaystyle x=\frac{\pi}{2}$ in the first quadrant. Then,
Official answer
(2)
$\displaystyle \mathrm{A}_1: \mathrm{A}_2=1: \sqrt{2}$ and $\displaystyle \mathrm{A}_1+\mathrm{A}_2=1$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.