Home
Class 12
MATHS
Show that the relation "geq" on the set ...

Show that the relation `"geq"` on the set `R` of all real numbers is reflexive and transitive but not symmetric.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|449 Videos
  • SCALAR OR DOT PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|233 Videos

Similar Questions

Explore conceptually related problems

Show that the relation geq on the set R of all real numbers is reflexive and transitive but nut symmetric.

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

Prove that the relation "less than" in the set of natural number is transitive but not reflexive and symmetric.

Prove that the relation "less than" in the set of natural number is transitive but not reflexive and symmetric.

Show that the relation R on R defined as R={(a ,\ b): alt=b} , is reflexive and transitive but not symmetric.

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

Let A={1,\ 2,\ 3} . Then, show that the number of relations containing (1, 2) and (2, 3) which are reflexive and transitive but not symmetric is three.

Show that the relations R on the set R of all real numbers, defined as R={(a ,\ b): alt=b^2} is neither reflexive nor symmetric nor transitive.

Show that the relation/R in the set R of real numbers,defined as R={(a,b):a<=b^(2)} is neither reflexive nor symmetric nor transitive.

Show that the relation R in the set R of real numbers, defined as R={(a ,b): alt=b^2} is neither reflexive nor symmetric nor transitive.

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Is it true that every relation which is symmetric and transitive is...

    Text Solution

    |

  2. An integer m is said to be related to another integer n if m is a mult...

    Text Solution

    |

  3. Show that the relation "geq" on the set R of all real numbers is refle...

    Text Solution

    |

  4. Give an example of a relation which is reflexive and symmetric but ...

    Text Solution

    |

  5. Give an example of a relation which is reflexive and transitive but...

    Text Solution

    |

  6. Give an example of a relation which is symmetric and transitive but...

    Text Solution

    |

  7. Give an example of a relation which is symmetric but neither reflex...

    Text Solution

    |

  8. Give an example of a relation which is transitive but neither refle...

    Text Solution

    |

  9. Given the relation R={(1,\ 2),\ (2,\ 3)} on the set A={1,\ 2,\ 3} , ad...

    Text Solution

    |

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

    Text Solution

    |

  11. Let A={a , b , c) and the relation R be defined on A as follows: R={(a...

    Text Solution

    |

  12. Each of the following defines a relation on N : (i) x+y=...

    Text Solution

    |

  13. Let R be a relation on the set of all lines in a plane defined by (l...

    Text Solution

    |

  14. Show that the relation ‘is congruent to’ on the set of all triangle...

    Text Solution

    |

  15. Show that the relation R defined on the set A of all triangles in a pl...

    Text Solution

    |

  16. Let n be a positive integer. Prove that the relation R on the set Z o...

    Text Solution

    |

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

    Text Solution

    |

  18. Show that the relation R on the set A={1,\ 2,\ 3,\ 4,\ 5} , given by R...

    Text Solution

    |

  19. Show that the relation R on the set A={x in Z :0lt=xlt=12} , given by...

    Text Solution

    |

  20. Show that the relation R on the set A of points in a plane, given by R...

    Text Solution

    |