CBSE#!#Some Examples Based On Reflexive, Symmetric And Transitive Relations

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

Explain the Relation (i) Reflexive (ii)Symmetric(iii) Transitive

Let w denote the words in the english dictionary. Define the relation R by: R = {(x,y) in W xx W | words x and y have at least one letter in common}. Then R is: (1) reflexive, symmetric and not transitive (2) reflexive, symmetric and transitive (3) reflexive, not symmetric and transitive (4) not reflexive, symmetric and transitive

A relation on set ={1,2,3,4,5} is defined as R="{"a-b"|" is prime number } then R is Reflexive only Symmetric only Transitive only Symmetric and transitive only equivalence

Let A={1,2,3,4,5,6} A relation R is defined on A as R={(x,y):x is a multiple of 2}.Then R is not reflexive,symmetric,not transitive R is not reflexive,not symmetric,transitive R is not reflexive,not symmetric,not transitive R is reflexive,not symmetric,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

If A={1,2,3,4} define relations on A which have properties of being reflexive, symmetric and transitive.

In the set A={1,2,3,4} ,relation R={(1,3),(3,1)} is (a) Equivalence (b) Reflexive (c) Symmetric (d) 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