A relation `S` is defined on the set of real numbers such that `S={(a, b):a^(3)+a-ba^(2)-b>=0}` ,then `R` is
1) Equivalence
2) Symmetric
3) Not transitive
4) Reflexive

Let S be the set of all real numbers sjow that the relation R={(a,b):a^(2)+b^(2)=1} is symmetric but neither reflextive nor transitive .

Let R be a relation defined on the set of real numbers by aRb hArr1+ab>0 then R is (A) Reflexive and symmetric (B) Transitive (C) Anti symmetric (D) Equivalence

Relation R defines on the set of natural numbers N such that R={(a,b):a is divisible by b}, than show that R is reflexive and transitive but not symmetric.

Let S be a relation on the set R of all real numbers defined by S={(a,b)epsilon RxR:a^(2)+b^(2)=1}. Prove that S is not an equivalence relation on R.

Show that the relation R in the set R of real numbers,defined as R={(a,b):a<=b^(2)} is neither reflexive nor symmetric nor transitive.

Show that the relations R on the set R of all real numbers,defined as R={(a,b):a<=b^(2)} is neither reflexive nor symmetric nor transitive.

Let a relation R_(1) on the set R of real numbers be defined as (a,b)in R_(11)+ab>0 for all a,b in R. show that R_(1) is reflexive and symmetric but not transitive.

Let S be the set of all real numbers. Then the relation R:- {(a ,b):1+a b >0} on S is: (a)an equivalence relation (b)Reflexive but not symmetric (c)Reflexive and transitive (d) Reflexive and symmetric but not transitive

The relation S is defined on set A={1,2,4,8} as S={(1,1)(2,2)(4,4)(8,8),(1,2),(1,4),(4,8)} then [A] S is reflexive and symmetric but not transitive [B] S is not reflexive,not symmetric,no transitive [C] S is not symmetric and transitive but reflexive [D] S is equivalance