Home
Class 11
MATHS
Let w denote the words in the english di...

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

not reflexive, symmetric and transitive

B

reflexive, symmetric and not transitive

C

reflexive, symmetric and transitive

D

reflexive, not symmetric and transitive

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise ChecK Your Understanding|9 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

Let w denotes the set of words in the English dictionary. Define the relation R by R = {(x, y) in W xx W} , the words x and y have at least one letter in common, then R is

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

Every relation which is symmetric and transitive is also reflexive.

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

Give an example of a relation which is symmetric and transitive but not reflexive.

In a set of real numbers a relation R is defined as xRy such that |x|+|y|<=1 then relation R is reflexive and symmetric but not transitive symmetric but not transitive and reflexive transitive but not symmetric and reflexive (4) none of reflexive,symmetric and transitive

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