Among the relations S = { (a,b):a,b in R - { 0},2 + frac{a}{b} > 0 } and T = { (a,b):a,b in R,a^{2} - b^{2} in Z }: Relation (Mathematics) Question | DivineJEE

Mathematics

(

31^{st\ }

Jan

2^{nd\ }

Shift 2023)

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\}

S

is transitive but

T

is not

both

S

and

T

are symmetric

neither

S

nor

T

is transitive

T

is symmetric but

S

is not

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