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Mathematics · 2022

JEE Main · 29 July 2022, Shift 2 · Q30

Let S={(x, y) ∈ N × N: 9(x-3)^2+16(y-4)^2 ≤ 144} and T={(x, y) ∈ R × R:(x-7)^2+(y-4)^2 ≤ 36}. Then n(S ∩ T) is equal to \ \ \ \

Let $\displaystyle S=\left\{(x, y) \in \mathbb{N} \times \mathbb{N}: 9(x-3)^2+16(y-4)^2 \leq 144\right\}$ and $\displaystyle T=\left\{(x, y) \in \mathbb{R} \times \mathbb{R}:(x-7)^2+(y-4)^2 \leq 36\right\}$. Then $\displaystyle n(S \cap T)$ is equal to \_\_\_\_
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.