Mathematics · 2022
JEE Main · 30 June 2022, Shift 1 · Q30
Let S_1={x ∈[0,12 π]: sin^5 x+ cos^5 x=1} and S_2={x ∈[0,8 π]: sin^7 x+ cos^7 x=1} Then n ( S_1)- n ( S_2) is equal to \ \ \ \.
Let $\displaystyle \mathrm{S}_1=\left\{x \in[0,12 \pi]: \sin ^5 x+\cos ^5 x=1\right\}$ and $\displaystyle \mathrm{S}_2=\left\{x \in[0,8 \pi]: \sin ^7 x+\cos ^7 x=1\right\}$ Then $\displaystyle \mathrm{n}\left(\mathrm{S}_1\right)-\mathrm{n}\left(\mathrm{S}_2\right)$ 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.