Home
Class 12
MATHS
Write the identity relation on set A={a ...

Write the identity relation on set `A={a ,\ b ,\ c}` .

Text Solution

Verified by Experts

Identity set of `A` is $$ I=\{(a, a),(b, b),(c, c)\} $$ Every element of this relation is related to itself.
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise Solved Examples And Exercises|422 Videos

  • SCALAR OR DOT PRODUCT

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

Similar Questions

Explore conceptually related problems

Find the Identity relation,when. A.={a,b,c,d}

Let R={(a ,\ a),\ (b ,\ b),\ (c ,\ c),\ (a ,\ b)} be a relation on set A={a ,\ b ,\ c} . Then, R is (a) identity relation (b) reflexive (c) symmetric (d) equivalence

Write the smallest reflexive relation on set A = {1, 2, 3, 4, 5}.

Write the smallest equivalence relation on the set A={1,\ 2,\ 3} .

Write the smallest reflexive relation on set A={1,2,3,4}

Prove that every identity relation on a set is reflexive,but the converse is not necessarily true.

Prove that every identity relation on a set is reflexive,but the converse is not necessarily true.

Consider the following two binary relations on the set A = {a,b,c}, R_(1) = {(c,a),(b,b), (a,c), (c,c), (b,c),(a,a)} R_(2) ={(a,a),(a,b),(c,c),(b,a),(b,b),(a,c)} , Then:

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Write the domain of the relation R defined on the set Z of integers as...

    Text Solution

    |

  2. If R={(x ,\ y): x^2+y^2lt=4; x ,\ y in Z} is a relation on Z , write ...

    Text Solution

    |

  3. Write the identity relation on set A={a ,\ b ,\ c} .

    Text Solution

    |

  4. Write the smallest reflexive relation on set A={1,\ 2,\ 3,\ 4} .

    Text Solution

    |

  5. If R={(x ,\ y): x+2y=8} is a relation on N , then write the range of R...

    Text Solution

    |

  6. If R is a symmetric relation on a set A , then write a relation betwee...

    Text Solution

    |

  7. Let R={(x ,\ y):|x^2-y^2|<1} be a relation on set A={1,\ 2,\ 3,\ 4,\ 5...

    Text Solution

    |

  8. If A={2,\ 3,\ 4} , B={1,\ 3,\ 7} and R={(x ,\ y): x in A ,\ y in B\ ...

    Text Solution

    |

  9. Let A={3,\ 5,\ 7} , B={2,\ 6,\ 10} and R be a relation from A to B def...

    Text Solution

    |

  10. Define a reflexive relation.

    Text Solution

    |

  11. Define a symmetric relation.

    Text Solution

    |

  12. Define a transitive relation.

    Text Solution

    |

  13. Define an equivalence relation.

    Text Solution

    |

  14. If A={3,\ 5,\ 7} and B={2,\ 4,\ 9} and R is a relation given by is les...

    Text Solution

    |

  15. A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7} and if R={(x ,\ y): y is one half of x ;...

    Text Solution

    |

  16. Let A={2,\ 3,\ 4,\ 5} and B={1,3,\ 4} . If R is the relation from A to...

    Text Solution

    |

  17. State the reason for the relation R on the set {1, 2, 3} given by R={(...

    Text Solution

    |

  18. Let R={(a ,\ a^3): a is a prime number less than 5} be a relation. Fin...

    Text Solution

    |

  19. Let R be the relation in the set Z of integers given by R={(a,b):2 div...

    Text Solution

    |

  20. For the set A={1,\ 2,\ 3} , define a relation R on the set A as follow...

    Text Solution

    |