Two sets \( \mathrm{A} \) and \( \mathrm{B} \) are as under: \( \mathrm{A}=\{(\mathrm{a}, \mathr...

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Two sets \( \mathrm{A} \) and \( \mathrm{B} \) are as under:
\( \mathrm{A}=\{(\mathrm{a}, \mathrm{b}) \in \mathrm{R} \times \mathrm{R}:|\mathrm{a}-5|<1 \) and \( |\mathrm{b}-5|<1\} \)
\( \mathrm{B}=\left\{(\mathrm{a}, \mathrm{b}) \in \mathrm{R} \times \mathrm{R}: 4(\mathrm{a}-6)^{2}+9(\mathrm{~b}-5)^{2} \leq 36\right\} \). Then:
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