Home
Class 12
MATHS
Let R={(a ,\ a),\ (b ,\ b),\ (c ,\ c),\ ...

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

Text Solution

Verified by Experts

The correct Answer is:
b) reflexive

Given ,
` R={(a, a),(b, b),(c, c),(a, b)}`
be a relation on set `A={a, b, c}.`
Now `forall a, b, c in A,(a, a),(b, b),(c, c) in R`,

so R is reflexive.
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

Let a = {a, b, c} and R = {(a, a), (b, b), (c, c), (b, c), (a, b)} be a relation on A, then the

Let A={a,b,c} and R={(a,a),(b,b),(c,c),(b,c),(a,b)} be a relation on A, then R is :

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

2. If A={a,b,c} and R={(a, a),(a, b),(a, c), (b, c)}be a relation on A, then R is(a) reflexive (b) transitive (C) symmetric (d) none of these Tatooidh... TU

R_(3)={(b,c)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

If R be a relation in a set A and (x, y) in R rArr(y, x) in R AA x, y in A then the relation R is called (A) reflexive (B) symmetric (C) transitive (D) equivalence

R_(1)={(a,a),(a,b),(a,c),(b,b),(b,c),(c,a),(c,b),(c,c)} is defined on set A={a,b,c}. Find whether or not it is (i) reflexive (ii) symmetric (iii) transitive.

If f: R->R be a relation given by f = {(a, a), (b, b), (c, c)}, then (a) f is reflexive (b) f is symmetric (c) f is transitive (d) f is equivalence

In the set A={1,2,3,4} ,relation R={(1,3),(3,1)} is (a) Equivalence (b) Reflexive (c) Symmetric (d) Transitive

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Let R be a relation on N defined by x+2y=8. The domain of R is

    Text Solution

    |

  2. R is a relation from {11, 12, 13} to {8, 10, 12} defined by y=x-3 ....

    Text Solution

    |

  3. Let R={(a ,\ a),\ (b ,\ b),\ (c ,\ c),\ (a ,\ b)} be a relation on set...

    Text Solution

    |

  4. Let A={1,\ 2,\ 3} and R={(1,\ 2),\ (2,\ 3),\ (1,\ 3)} be a relation on...

    Text Solution

    |

  5. If R is the largest equivalence relation on a set A and S is any relat...

    Text Solution

    |

  6. If R is a relation on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9} gi...

    Text Solution

    |

  7. If R is a relation on the set A={1,\ 2,\ 3} given by R=(1,\ 1),\ (2,\ ...

    Text Solution

    |

  8. If A={a ,\ b ,\ c ,\ d}, then a relation R={(a ,\ b),\ (b ,\ a),\ (a ,...

    Text Solution

    |

  9. If A={1, 2, 3} , then a relation R={(2,3)} on A is (a) symmetric and t...

    Text Solution

    |

  10. Let R be the relation on the set A={1,\ 2,\ 3,\ 4} given by R={(1,\ 2)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. S is a relation over the set R of all real numbers and it is given by ...

    Text Solution

    |

  14. In the set Z of all integers, which of the following relation R is not...

    Text Solution

    |

  15. Let A={1,\ 2,\ 3} and consider the relation R={(1,\ 1),\ (2,\ 2),\ (3,...

    Text Solution

    |

  16. The relation S defined on the set R of all real number by the rule a\ ...

    Text Solution

    |

  17. The maximum number of equivalence relations on the set A = {1, 2, 3} a...

    Text Solution

    |

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

    Text Solution

    |

  19. Let L denote the set of all straight lines in a plane. Let a relatio...

    Text Solution

    |

  20. Let T be the set of all triangles in the Euclidean plane, and let a...

    Text Solution

    |