Home
Class 12
MATHS
If A={a,b,c,d} mention the type of relat...

If A={a,b,c,d} mention the type of relations on A given below, which of them are equivalence relations? `{(a,a),b,b),(c,c),(d,d),(a,d),(a,c),(d,a),(c,a),(c,d),(d,c)}`

Text Solution

Verified by Experts

Reflexive, symmetric and transitive . Hence it is an equivalence relation.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    MBD PUBLICATION|Exercise QUESTION BANK|171 Videos
  • RELATIONS AND FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|106 Videos

Similar Questions

Explore conceptually related problems

If A={a,b,c,d} mention the type of relations on A given below, which of them are equivalence relations? {(b,c),(b,d),(c,d)}

If A={a,b,c,d} mention the type of relations on A given below, which of them are equivalence relations? {(a,b),(b,a),(b,d),(d.b)}

If A-{a,b,c,d) mention the type of relations on A given below, which of them are equivalence relations? {(a,b), (b, a),(b,d),(d, b)}

Identify the figures A, B ,C and D given below and select the correct option.

Identify the different types of aestivation (A,B ,C and D) and select the correct option.

The figure of Labeo rohita is given below. Identify the parts labelled as A, B,C, D and E.

Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a+d=b+c is an equivalence relation.

If A = {a,b,c,d} and the function f = {(a,b),(b,d),(c,a),(d,c)}, then write f^(-1) .

If A= {a,b,c,d) and the function f = {(a,b),(b,d), (c,a), (d,c)}, then write f^(-1) .

Identify the marking A, B, C and D in the figure given below and select the correct option.

MBD PUBLICATION-RELATION AND FUNCTION-QUESTION BANK
  1. If A={a,b,c,d} mention the type of relations on A given below, which o...

    Text Solution

    |

  2. If A={a,b,c,d} mention the type of relations on A given below, which o...

    Text Solution

    |

  3. If A={a,b,c,d} mention the type of relations on A given below, which o...

    Text Solution

    |

  4. Write relations in tabular form and determine their type for R={(x,y):...

    Text Solution

    |

  5. Write relations in tabular form and determine their type for R={(x,y):...

    Text Solution

    |

  6. Write relations in tabular form and determine their type for R={(x,y) ...

    Text Solution

    |

  7. Write the relations in tabular form and determine their type. R= {(x...

    Text Solution

    |

  8. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  9. Test wheter relations are reflexive, symmetric or transitive on the se...

    Text Solution

    |

  10. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  11. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  12. Test whether the relations are reflexive, symmetric or transitive on t...

    Text Solution

    |

  13. Test wheter relations are reflexive, symmetric or transitive on the se...

    Text Solution

    |

  14. List the members of the equivalence relation defined by {{1},{2},{3,4...

    Text Solution

    |

  15. List the members of the equivalence relation defined by {{1,2,3},{4}} ...

    Text Solution

    |

  16. List the members of the equivalence relation defined by {{1,2,3,4}} pa...

    Text Solution

    |

  17. Show that if R is an equivalence relation on X then dom R=rngR =X.

    Text Solution

    |

  18. Given an example of a relation which is reflexive, symmetric but not...

    Text Solution

    |

  19. Given an example of a relation which is reflexive, transitive but n...

    Text Solution

    |

  20. Given an example of a relation which is symmetric, transitive but no...

    Text Solution

    |