Home
Class 11
MATHS
Let X = {a, b,c,d}, and R = { (a,a) (b,b...

Let X = {a, b,c,d}, and R = { (a,a) (b,b) (a,c)}. Write down the minimum number of ordered pairs to be included to R to make it
(i) reflexive (ii) symmetric
(iii) transitive (iv) equivalence.

Answer

Step by step text solution for Let X = {a, b,c,d}, and R = { (a,a) (b,b) (a,c)}. Write down the minimum number of ordered pairs to be included to R to make it (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence. by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise Exercise -1.3|17 Videos
  • SETS, RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise Exercise -1.4|4 Videos
  • SETS, RELATIONS AND FUNCTIONS

    FULL MARKS|Exercise Exercise 1.1|9 Videos
  • SAMPLEPAPER - 15 (UNSOLVED)

    FULL MARKS|Exercise Part - IV (IV. Answer all the questions.)|7 Videos
  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

Similar Questions

Explore conceptually related problems

Let A = { a,b,c }, and R = {(a,a) (b,b) (a,c) }. Write down the minimum number of ordered pairs to be included to R to make it (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence.

Let A={a,b,c} and R={(a,a), (b,b),(a,c)}. Write down the minimum number of ordered pairs to be included to R to make it (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence

Let A={a,b,c} and R={(a,a),(b,b),(a,c)} . Write down the minimum number of ordered pairs to be included to R to make it (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence

Let X={a,b,c,d} and R={(a,a),(b,b),(a,c)} . Write doen the minimum number of ordered pairs to be included to R to make it (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence

Let A={2,3,5}" and relataion "R={(2,5)} write down the minimum number of ordered pairs to be indluded to R to make it an equivalence relation.

Let set A={1,2,3} . Then find number of ordered pairs which when added to R make it reflexive but not symmetric

On the set of natural number let R be the relation defined by aRb if a+b lt=6 . Write down the relation by listing all the pairs. Check whether it is (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence.

On the set of natural number let R be the relation defined by aRb if 2a +3b=30. Write down the relation by listing all the pair . check whether it is (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence

Let S = (a, b, c) and R= {(a, a),(a, b), (b, b), (a, c), (c, a)}. IfR is to be equivalence relation. "Find the minimum number of ordered pairs to be included.

On the set of natural numbers let R be the relatioin defined by aRb if a+ble6 . Write down the relation by listing all the pairs. Check whether it is (i) reflexive (ii) symmetric (iii) transitive (iv) equivalence