Home
Class 12
MATHS
Given the relation R= {(1,2),(2,3)} is t...

Given the relation R= {(1,2),(2,3)} is the set A= {1,2,3}. Then the minimum number of ordered pairs which when added to R make it an equivalence relation is :

A

5

B

6

C

7

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    MODERN PUBLICATION|Exercise AIEEE/JEE EXAMINATIONS|1 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos
  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos

Similar Questions

Explore conceptually related problems

The relation R={(1,1),(2,2),(3,3)} on the set {1,2,3} is

The relation R = {(1, 1), (2, 2), (3, 3)} on the set of {1, 2, 3] is

In the set of integers Z, which of the following relation R is not an equivalence relation?

The relation R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)} on set A={1,2,3} is

Let A= {1,2,3}. Then the relation R= {(2,3)} in A is :

Let R_1 and R_2 be two equivalence relations in the set A. Then:

Let R be an equivalence relation defined on a set containing 6 elements. The minimum number of ordered pairs that R should contain is

Let A = {1,2,3}. Then number of equivalence relations containing (1,2) is

Let R be an equivalence relation defined on a set containing 6 elements. The minimum number of orderded pairs that R should contain is :

MODERN PUBLICATION-RELATIONS-MCQ LEVEL-II
  1. Let R be a relation in the set of natural numbers defined by R= {(1+x,...

    Text Solution

    |

  2. R is a relation over the set of real numbers and it is given by mn ge ...

    Text Solution

    |

  3. R is a relation over the set of integers and it is given by (x,y) in R...

    Text Solution

    |

  4. Let L be the set of all straight lines in the Euclidean plane. Two lin...

    Text Solution

    |

  5. Let R be the relation over the set of straight lines in a plane such t...

    Text Solution

    |

  6. Let R be the relation over the set of integers such that l R m iff l i...

    Text Solution

    |

  7. Which one of the following relations on R is an equivalence relation ?

    Text Solution

    |

  8. Let R ={(x,y) : x,y in A, x+y=5}, where A= {1,2,3,4,5}. Then :

    Text Solution

    |

  9. For x,y in R, define a relation R by x R y if and only if x-y+sqrt(2) ...

    Text Solution

    |

  10. Given the relation R= {(1,2),(2,3)} is the set A= {1,2,3}. Then the mi...

    Text Solution

    |

  11. Let A= {a,b,c}. Which of the following is not an equivalence relation ...

    Text Solution

    |

  12. Let R1 and R2 be two equivalence relations in the set A. Then:

    Text Solution

    |

  13. If A is the set of even natural numbers less than 8 and B is the set o...

    Text Solution

    |

  14. Let R= {(1,3), (4, 2), (2, 4), (2, 3) , (3, 1)} be a relation on the s...

    Text Solution

    |

  15. Let R= { (3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3,9), (3, 12), (...

    Text Solution

    |

  16. Let x,y in I and suppose that a relation R on I is defined by x R y if...

    Text Solution

    |

  17. The relation R defined on the set A = { 1, 2, 3, 4} by : R= {( x,y)...

    Text Solution

    |

  18. Let S be the set of all real numbers. Then the relation R = {(a, b) : ...

    Text Solution

    |

  19. Let W denote the words in the English dictionary. Define the relation ...

    Text Solution

    |

  20. Let R be the real line, Consider the following subsets of the plane R...

    Text Solution

    |