Relations#!#Refexive, Symmetric and Transitive Relations#!#Problem Practice

Define a transitive relation.

Definition of Transitive relation

Number of Symmetric and asymmetric relation

Types Of Relation|Empty Relation|Universal Relation|Identity Relation|Example|Reflexive Relation|Example|Symmetric Relation|Transitive Relation|Equivalence Relation|Example|OMR|Summary

A relation R_(1) is defined on RxxR rarr RxxR by (a, b)R_(1)(c, d) implies a+b+c+d is positive. How many statements S_(1), S_(2), S_(3), S_(4) are CORRECT ? S_(1) : Relation is Reflexive but not Symmetric S_(2) :, Relation is Symmetric but not Transitive S_(3) : Relation is Transitive but not Symmetric S_(4) : Relation is Equivalence

Define a symmetric relation.

Let R be a relation defined by R={(a,b):a>=b,a,b in R}. The relation R is (a) reflexive,symmetric and transitive (b) reflexive,transitive but not symmetric ( d) symmetric,transitive but not reflexive (d) neither transitive nor reflexive but symmetric

Let R be the relation on the set of all real numbers defined by aRb iff |a-b|<=1 .Then R is Reflexive and transitive but not symmetric Reflexive symmetric and transitive Symmetric and transitive but not reflexive Reflexive symmetric but not transitive

Let R be the relation on the set of all real numbers defined by aRb iff |a-b|<=1 .Then R is O Reflexive and transitive but not symmetric O Reflexive symmetric and transitive O Symmetric and transitive but not reflexive O Reflexive symmetric but not transitive

The relation R is such that a Rb o*|a|>=|b Reflexive,not symmetric,transitive Reflexive, symmetric,transitive Reflexive,not symmetric,not transitive none of above