Home
Class 12
MATHS
Check whether the relation R in R, defin...

Check whether the relation R in R, defined by `R= {(a, b): a le b^3` ) is reflexive, symmetric or transitive ?

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTION

    MODERN PUBLICATION|Exercise EXAMPLE|212 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|543 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXAMPLE|13 Videos
MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. Check whether the relation R defined in the set {1, 2,3,4, 5, 6} as R ...

    Text Solution

    |

  2. Show that the relation R in the set R of real numbers defined as R = {...

    Text Solution

    |

  3. Check whether the relation R in R, defined by R= {(a, b): a le b^3 ) i...

    Text Solution

    |

  4. Show that the relation R in the set {1,2,3} given by R = {(1,2),(2,1)}...

    Text Solution

    |

  5. Show that the relation R in the set A of all the books in a library of...

    Text Solution

    |

  6. Show that the relation R in, the set A = {1, 2, 3, 4, 5} given by R={(...

    Text Solution

    |

  7. Show that each of the relation R in the set A ={x in z : 0 le x le 12}...

    Text Solution

    |

  8. Show that each of the relation R in the set A = {x in Z : 0 le x le 12...

    Text Solution

    |

  9. Give an example of a relation. Which is: Symmetric but neither reflexi...

    Text Solution

    |

  10. Give an example of a relation. Which is: Transitive but neither reflex...

    Text Solution

    |

  11. Give an example of relation which is Transitive but niether reflexiv...

    Text Solution

    |

  12. Give an example of relation which is Reflexive and transitive but no...

    Text Solution

    |

  13. Give an example of a relation which is symmetric and transitive but no...

    Text Solution

    |

  14. Show that the relation R in the set A of points in a plane given by R ...

    Text Solution

    |

  15. Show that the relation R, defined by the set A of all triangles as : R...

    Text Solution

    |

  16. Show that the relation R defined in the set A of all polygons as R = {...

    Text Solution

    |

  17. Let L be the set of all lines in XY-pJane and R be the relation in L d...

    Text Solution

    |

  18. Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), ...

    Text Solution

    |

  19. Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b...

    Text Solution

    |

  20. Show that the function f : R* rarr R* defined by f (x) = 1/x is one...

    Text Solution

    |