Home
Class 12
MATHS
Let N be the set of all natural nium...

Let N be the set of all natural niumbers and let R be a relation in N , defined by
`R={(a,b):a" is a factor of b"}.`
then , show that R is reflexive and transitive but not symmetric .

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (a) (Long Answer Type Questions (I))|7 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE 1 (a) (Long Answer Type Questions (II))|6 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTIONS FROM NCERT EXEMPLAR|5 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos
  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

Let N be the set of all natural numbers and let R be relation in N. Defined by R={(a,b):"a is a multiple of b"}. show that R is reflexive transitive but not symmetric .

Let S be the set of all real numbers and let R be a relation in s, defined by R={(a,b):aleb}. Show that R is reflexive and transitive but not symmetric .

Let S be the set of all real numbers and Let R be a relations on s defined by a R B hArr |a|le b. then ,R is

Let S be the set of all real numbers and let R be a relation in s,defined by R={(a,b):aleB^(2)}. show that R satisfies none of reflexivity , symmetry and transitivity .

Let S be the set of all real numbers and let R be relation in S, defied by R={(a,b):aleb^(3)}. Show that R satisfies none reflexivity , symmetry and transitivity .

Let S be set of all real numbers and let R be relation on S , defined by a R b hArr |a-b|le 1. then R is

Let Z be the set of all integers and let R be a relation on Z defined by a Rb implies a ge b . then R is

Let S be set of all numbers and let R be a relation on S defined by a R b hArr a^(2)+b^(2)=1 then, R is