Home
Class 12
MATHS
If A={1,\ 2,\ 3,\ 4} define relations on...

If `A={1,\ 2,\ 3,\ 4}` define relations on `A` which have properties of being symmetric but neither reflexive nor transitive.

Text Solution

Verified by Experts

The correct Answer is:
`R_(2)={(1,2),(2,1)}`
Promotional Banner

Topper's Solved these Questions

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Problem Set (3) (FUNCTIONS AND MAPPING)|39 Videos

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Problem Set (1)|72 Videos

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Assertion / Reason |2 Videos

  • CORRELATION AND REGRESSION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

Similar Questions

Explore conceptually related problems

If A={1,2,3,4} define relations on A which have properties of being reflexive, symmetric and transitive.

If A={1,2,3,4} define relations on A which have properties of being reflexive, transitive but not symmetric.

If A = {1, 2, 3, 4}, define relations on A which have properties of being (i) reflexive, transitive but not symmetric. (ii) symmetric but neither reflexive nor transitive. (iii) reflexive, symmetric and transitive.

Give an example of a relation which is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1,2,3} given by R={(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

Show that the relation R on the set A={1,2,3} given by R={(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1, 2, 3} defined as: (a) R={(1,2),(2,1)} is symmetric, but neither reflexive nor transitive (b) R={(1,1),(2,2),(3,3),(1,2),(2,3)} is reflexive, but neither symmetric nor transitive (c ) R={(1,3),(3,2),(1,2)} is transitive, but neither reflexive nor symmetric.

Let L be the set of all lines in a plane and R be the relation in L defined as R={(L_(1),L_(2)):L_(1) (is perpendicular to L_(2)} Show that R is symmetric but neither reflexive nor transitive.

ML KHANNA-CONCEPTS OF SET THEORY -Problem Set (2) (RELATIONS)
  1. If A={a,b,c,d},B={1,2,3}, find whether or not the following sets of or...

    Text Solution

    |

  2. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

    Text Solution

    |

  3. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

    Text Solution

    |

  4. If A={1,\ 2,\ 3,\ 4} define relations on A which have properties of be...

    Text Solution

    |

  5. Let A={1,2,3} and let R(1)={(1,1),(1,3),(3,1),(2,2),(2,1),(3,3)} R...

    Text Solution

    |

  6. Given the relation R= {(1,2), (2,3)} on the set of natural numbers, ad...

    Text Solution

    |

  7. Given the relation R={(1,2) (2,3)} on the set A={(1,2,3)} the minimum ...

    Text Solution

    |

  8. Let R={(a,a),(b,c),(a,b)} be a relation on a set A={a,b,c}. Then the m...

    Text Solution

    |

  9. Is it true that every relation which is symmetric and transitive is...

    Text Solution

    |

  10. Let a relation R be defined by R={(4,5),(1,4),(4,6),(7,6),(3,7)}. Fi...

    Text Solution

    |

  11. Let a relation R be defined by R={(4,5),(1,4),(4,6),(7,6),(3,7)}. Fi...

    Text Solution

    |

  12. If R be a relation from A = {1,2,3,4} to B= {1,3,5} i.e., (a,b) in R...

    Text Solution

    |

  13. If X={1,2,3,4,5)andY={1,3,5,7,9}, determine which of the following are...

    Text Solution

    |

  14. Let A be the set of first ten natural nnumbers and let R be relation o...

    Text Solution

    |

  15. Three relations R(1),R(2)andR(3) are defined on set A={a,b,c} as follo...

    Text Solution

    |

  16. Three relations R(1),R(2)andR(3) are defined on set A={a,b,c} as follo...

    Text Solution

    |

  17. Three relations R(1),R(2)andR(3) are defined on set A={a,b,c} as follo...

    Text Solution

    |

  18. Let R be a relation from a set A\ to a set B, then R=AuuB b. R=AnnB ...

    Text Solution

    |

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

    Text Solution

    |

  20. If A={a,b,c,d},B=(p,q,r,s), then which of the following are relations ...

    Text Solution

    |