JEE Main 202331 Jan, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002Among the relations S={(a,b):a,b∈R−{0},2+ab>0}\mathrm{S}=\left\{(\mathrm{a}, \mathrm{b}): \mathrm{a}, \mathrm{b} \in \mathbb{R}-\{0\}, 2+\frac{\mathrm{a}}{\mathrm{b}}>0\right\}S={(a,b):a,b∈R−{0},2+ba>0} and T={(a,b):a,b∈R,a2−b2∈Z}\mathrm{T}=\left\{(\mathrm{a}, \mathrm{b}): \mathrm{a}, \mathrm{b} \in \mathbb{R}, \mathrm{a}^{2}-\mathrm{b}^{2} \in \mathbb{Z}\right\}T={(a,b):a,b∈R,a2−b2∈Z},AOption A. S\mathrm{S}S is transitive but T\mathrm{T}T is notBOption B. both S\mathrm{S}S and T\mathrm{T}T are symmetricCOption C. neither SSS nor TTT is transitiveDOption D. TTT is symmetric but SSS is notCheckSkip · show solution
