Home
Class 12
MATHS
a R b if |a|lt=b is defined on the set o...

`a R b` if `|a|lt=b` is defined on the set of real numbers, find whether it is reflexive, symmetric or transitive.

Text Solution

AI Generated Solution

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

a R b if a-b >0 is defined on the set of real numbers, find whether it is reflexive, symmetric or transitive.

a R b iff 1+a b >0 is defined on the set of real numbers, find whether it is reflexive, symmetric or transitive.

The following relation is defined on the set of real number: a R biff1+a b >0 Find whether this relation is reflexive, symmetric or transitive.

The given relation is defined on the set of real numbers. a R b iff |a| = |b| . Find whether these relations are reflexive, symmetric or transitive.

R_2={(a ,\ a)} is defined on set A={a ,\ b ,\ c} . Find whether or not it is (i) reflexive (ii) symmetric (iii) 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.

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

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.

Show that the relation R in the set 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. a R b if a-b >0 is defined on the set of real numbers, find whether...

    Text Solution

    |

  2. a R b iff 1+a b >0 is defined on the set of real numbers, find whet...

    Text Solution

    |

  3. a R b if |a|lt=b is defined on the set of real numbers, find whethe...

    Text Solution

    |

  4. Check whether the relation R defined on the set A={1,\ 2,\ 3,\ 4,\ 5,\...

    Text Solution

    |

  5. Check whether the relation R on R defined by R={(a ,\ b): alt=b^3} is ...

    Text Solution

    |

  6. Prove that every identity relation on a set is reflexive, but the c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Let R be a relation defined on the set of natural numbers N as R={(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |