Among the relations S( (a ,b ) :a ,bϵR- (0 ) ,2+ ab0) and T= ( (a ,b ) :a ,bϵR ,a^2 ,b^2ϵZ ) ,

Question

Among the relations S( (a ,b ) :a ,bϵR- (0 ) ,2+ ab>0) and T= ( (a ,b ) :a ,bϵR ,a^2 ,b^2ϵZ ) ,

Accepted Answer

Correct answer: B. (b) For relation T=a-b=-1 Then (b ,a ) on relation R ⇒b^2-a^2=-1 ∴T is symmetric S=( (a ,b ) :a ,bϵR- (0 ) ,2+ ab>0) 2+ ab>0 ⇒ ab>-2 , ⇒ ba<- 12 If (b ,a )ϵS Then s+ ba not necessarily positive ∴ s is not symmetric

$Among the relations S ((a, b) : a, b ϵ R - (0), 2 + \frac{a}{b} > 0) and T = ((a, b) : a, b ϵ R, a^{2}, b^{2} ϵ Z),$

Solution

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