Home
Class 12
MATHS
If R is an equivalence relation on a set...

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

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|449 Videos

  • SCALAR OR DOT PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|233 Videos

Similar Questions

Explore conceptually related problems

If R is the largest equivalence relation on a set A and S is any relation on A , then (a) RsubS (b) SsubR (c) R=S (d) none of these

Let R_1 and R_2 be equivalence relations on a set A, then R_1uuR_2 may or may not be

Let R and S be two equivalence relations on a set A Then : A. R uu S is an equvalence relation on A B. R nn S is an equirvalenee relation on A C. R - S is an equivalence relation on A D. None of these

If R_1 and R_2 are equivalence relations in a set A, show that R_1nnR_2 is also an equivalence relation.

If R_1 and R_2 are equivalence relations in a set A, show that R_1nnR_2 is also an equivalence relation.

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

If R is a symmetric relation on a set A , then write a relation between R and R^(-1) .

Let L be the set of all lines in X Y=p l a n e and R be the relation in L defined as R={(L_1,L_2): L_1 is parallel to L_2}dot Show that R is an equivalence relation. Find the set of all lines related to the line y=2x+4.

Let L be the set of all lines in X Y=p l a n e and R be the relation in L defined as R={(L_1,L_2): L_1 is parallel to L_2}dot Show that R is an equivalence relation. Find the set of all lines related to the line y=2x+4.

Let L be the set of all lines in X Y -plane and R be the relation in L defined as R={(L_1, L_2): L_1 is parallel to L_2} . Show that R is an equivalence relation. Find the set of all lines related to the line y=2x+4 .

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let Z be the set of all integers and Z0 be the set of all non zero...

    Text Solution

    |

  2. Prove that every identity relation on a set is reflexive, but the c...

    Text Solution

    |

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

    Text Solution

    |

  4. On the set N of all natural numbers, a relation R is defined as follow...

    Text Solution

    |

  5. If R1 and R2 are equivalence relations in a set A, show that R1nnR2...

    Text Solution

    |

  6. Let Z be the set of all integers and Z0 be the set of all non-zero...

    Text Solution

    |

  7. Let R be the equivalence relation in the set A={0,1,2,3,4,5} given b...

    Text Solution

    |

  8. An integer m is said to be related to another integer n if m is a mult...

    Text Solution

    |

  9. Show that the relation geq on the set R of all real numbers is r...

    Text Solution

    |

  10. m is said to be related to n if m and n are integers and m-n is divisi...

    Text Solution

    |

  11. Let O be the origin. We define a relation between two points P and ...

    Text Solution

    |

  12. Show that the relation R defined by R={(a , b):a-b is divisible ...

    Text Solution

    |

  13. Prove that a relation R on a set A is symmetric iff R=R^-1

    Text Solution

    |

  14. Three relations R1, R2a n dR3 are defined on set A={a , b , c} as foll...

    Text Solution

    |

  15. Let a relation R1 on the set R of real numbers be defined as (a , b) ...

    Text Solution

    |

  16. Let S be the set of all points in a plane and R be a relation on S def...

    Text Solution

    |

  17. The following relation is defined on the set of real number: a R ...

    Text Solution

    |

  18. Prove that every identity relation on a set is reflexive, but the c...

    Text Solution

    |

  19. Let R be a relation defined on the set of natural numbers N as R={(...

    Text Solution

    |

  20. Let N denote the set of all natural numbers and R be the relation on N...

    Text Solution

    |