Home
Class 11
MATHS
Show that the relation ‘is a factor of’ ...

Show that the relation ‘is a factor of’ on the set N of all natural numbers is reflexive and transitive but not symmetric.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|348 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

Similar Questions

Explore conceptually related problems

Prove that the relation in the set N of natural numbers defined as R = {(a,b) ≤ b} is reflexive and transitive but not symmetric.

Show that R= {(a, b): a ge b} is reflexive and transitive but not symmetric.

Give an example of a relation which is reflexive and transitive but not symmetric.

Show that the relation ‘>’ on the set R of all real numbers is transitive but it is neither reflexive nor symmetric.

Give an example of relation which is Reflexive and transitive but not symmetric

Show that the relation R in the set R of real numbers defined as R = {(a, b) : a le b} , is reflexive and transitive but not symmetric.

Show that the relation R in the set R of real numbers defined as R = ((a, b) : a le b} , is reflexive and transitive but not symmetric.

Show that the relation R in the set R of real number defined by R = {(a, b) : a le b }, is reflexive and transitive but not symmetric.

Show that the relation ‘is perpendicular to' on the set A of all coplanar straight lines is symmetric but it is neither reflexive nor transitive.

MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
  1. Show that the relation ‘is perpendicular to' on the set A of all copla...

    Text Solution

    |

  2. Show that R= {(a, b): a ge b} is reflexive and transitive but not sym...

    Text Solution

    |

  3. Show that the relation ‘is a factor of’ on the set N of all natural nu...

    Text Solution

    |

  4. Let A = {1, 2, 3, .........., 14}. Define a relation R from A to A by ...

    Text Solution

    |

  5. Define a relation R on the set N of natural numbers by : R= {(x, y): y...

    Text Solution

    |

  6. LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): ...

    Text Solution

    |

  7. LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): ...

    Text Solution

    |

  8. LetA= {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): ...

    Text Solution

    |

  9. The following figure shows a relation between P and Q. Write the relat...

    Text Solution

    |

  10. The following figure shows a relation between P and Q. Write the relat...

    Text Solution

    |

  11. For the given relation R on a set S, determine which are equivalence r...

    Text Solution

    |

  12. For the given relation R on a set S, determine which are equivalence r...

    Text Solution

    |

  13. If R is the relation in N xx N defined by (a, b) R (c,d) if and only i...

    Text Solution

    |

  14. Is inclusion of a subset in another, in the context of a universal set...

    Text Solution

    |

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

    Text Solution

    |

  16. Let f(x) = x^2 and g(x) = 2x + 1 be two real functions. Find : (f + g...

    Text Solution

    |

  17. Let f(x)= sqrtx and g (x) = x be two functions defined over the set of...

    Text Solution

    |

  18. If f and g are functions defined by : f(x)= sqrt(x-1), g(x)=1/x,then d...

    Text Solution

    |

  19. If f and g are functions defined by : f(x)= sqrt(x-1), g(x)=1/x,then d...

    Text Solution

    |

  20. If f and g are functions defined by : f(x)= sqrt(x-1), g(x)=1/x,then d...

    Text Solution

    |