Home
Class 12
MATHS
Let R be an equivalence relation on a fi...

Let R be an equivalence relation on a finite set A having n elements. Then the number of ordered pairs in R is

A

less than n

B

greater than or equal to n

C

less than or equals to n

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|6 Videos

  • AREAS OF BOUNDED REGIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

Similar Questions

Explore conceptually related problems

Let R be a reflexive relation on a finite set A having n elements and let there be m ordered pairs in R, then

Let R be a reflexive relation on a finite set A having n elements and let there be m ordered pairs in R, then

Let A be a finite set containing n elements, then the number of relations on A is

If R is an equivalence relation on a set A, then R^-1 is

if A is a finite set having n elements , then P(A) has

If R is a relation on a finite set having n elements, then the number of relations on A is a. 2^n b. 2^n^2 c. n^2 d. n^n

Let A be any finite set having n elements. Then number of one - one function from A to A are

If R is a relation from a finite set A having m elements to a finite set B having n elements then the number of relations from A to B is

Let A be a finite set containing 3 elements, then the number of functions from A to A is

Let R = {(a, a)} be a relation on a set A.Then R is

OBJECTIVE RD SHARMA ENGLISH-CARTESIAN PRODUCT OF SETS AND RELATIONS -Exercise
  1. Let R be a reflexive relation on a finite set A having n elements and ...

    Text Solution

    |

  2. The void relation on a set A is

    Text Solution

    |

  3. Let R be an equivalence relation on a finite set A having n elements....

    Text Solution

    |

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

    Text Solution

    |

  5. Let R and S be two equivalence relations on a set A Then : A. R uu S ...

    Text Solution

    |

  6. The relation is subset of on the power set P (A) of a set A is

    Text Solution

    |

  7. Let P={(x,y)|x^(2)+y^(2)=1, x,y in R}. Then, P is

    Text Solution

    |

  8. Let R = {(a, a)} be a relation on a set A.Then R is

    Text Solution

    |

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

    Text Solution

    |

  10. Let X be a family of sets and R be a relation on X defined by A is dis...

    Text Solution

    |

  11. If R is an equivalence relation on a set A, then R^-1 is

    Text Solution

    |

  12. Let R and S be two non-void relations on a set A. Which of the followi...

    Text Solution

    |

  13. If R be a relation lt from A = {1, 2, 3, 4} to B = {1, 3, 5}, i.e. (a,...

    Text Solution

    |

  14. If R is a relation from a set A to a set B and S is a relation from B ...

    Text Solution

    |

  15. If R sub A xx B and S sub B xx C be two relations, then (SoR)^-1 =

    Text Solution

    |

  16. In the set A = {1, 2, 3, 4, 5}, a relation R is defined by R = {(x, y)...

    Text Solution

    |

  17. Let A = {p, q, r}. Which of the following is not an equivalence relati...

    Text Solution

    |

  18. In order that a relation R defined on a non-empty set A is an equivale...

    Text Solution

    |

  19. Let R be a relation on the set N of natural numbers defined by n\ R\ m...

    Text Solution

    |

  20. Let R and S be two non-void relations on a set A. Which of the followi...

    Text Solution

    |