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Circle question

2022 · 29 Jul · Shift 2 · Q43
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  5. /2022 · 29 Jul · Shift 2 · Q43

Circle question

2022 · 29 Jul · Shift 2 · Q43

JEE MainMathematicsCircleNumerical+4 / −1
 Let S={(x,y)∈N×N:9(x−3)2+16(y−4)2≤144}\text { Let } S=\left\{(x, y) \in \mathbb{N} \times \mathbb{N}: 9(x-3)^{2}+16(y-4)^{2} \leq 144\right\} 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}T=\left\{(x, y) \in \mathbb{R} \times \mathbb{R}:(x-7)^{2}+(y-4)^{2} \leq 36\right\}T={(x,y)∈R×R:(x−7)2+(y−4)2≤36}. Then n(S∩T)n(S \cap T)n(S∩T) is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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