Mathematics · 2023
JEE Main · 31 January 2023, Shift 2 · Q61
Among the relations S ={( a, b ): a, b ∈ R -{0}, 2+a/b>0} and T ={( a, b ): a, b ∈ R, a^2- b^2 ∈ Z },
Among the relations
$$\mathrm{S}=\left\{(\mathrm{a}, \mathrm{~b}): \mathrm{a}, \mathrm{~b} \in \mathbb{R}-\{0\}, 2+\frac{\mathrm{a}}{\mathrm{~b}}>0\right\} \text { and } \mathrm{T}=\left\{(\mathrm{a}, \mathrm{~b}): \mathrm{a}, \mathrm{~b} \in \mathbb{R}, \mathrm{a}^2-\mathrm{b}^2 \in \mathbb{Z}\right\},
$$
Official answer
From NTA’s final answer key for this paper.
(1)
T is symmetric but S is not
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.