Among the relations $S=\left\{(a, b): a, b \in R -\{0\}, 2+\frac{a}{b}0\right\}$ and $T=\left\{(a, b): a, b \in R , a^2-b^2 \in Z\right\}$, which of the following is true? [JEE Main 2023, 31 Jan (Shift 2)]

Question

Among the relations $S=\left\{(a, b): a, b \in R -\{0\}, 2+\frac{a}{b}>0\right\}$ and $T=\left\{(a, b): a, b \in R , a^2-b^2 \in Z\right\}$, which of the following is true? [JEE Main 2023, 31 Jan (Shift 2)]

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Among the relations \(S=\left\{(a, b): a, b \in R -\{0\}, 2+\frac{a}{b}>0\right\}\) and \(T=\left\{(a, b): a, b \in R…

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Among the relations \(S=\left\{(a, b): a, b \in R -\{0\}, 2+\frac{a}{b}&gt;0\right\}\) and \(T=\left\{(a, b): a, b \in R…

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Among the relations \(S=\left\{(a, b): a, b \in R -\{0\}, 2+\frac{a}{b}>0\right\}\) and \(T=\left\{(a, b): a, b \in R…