Home
Class 12
MATHS
Check whether the relation R on R define...

Check whether the relation `R` on `R` defined by `R={(a ,\ b): alt=b^3}` is reflexive, symmetric or transitive.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    V PUBLICATION|Exercise QUESTION BANK|132 Videos

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

Check whether the relation R in R defined by R={(a,b):a lt= b^3} is reflexive, symmetric or transitive.

Check whether the relation R defined in the set {1,2,3,4,5,6} as R={(a,b) : b=a+1} is reflexive, symmetric or transitive.

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

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

The relation R defined on the A={-1,0,1} as R={(a,b):a^2=b} Check whether R is reflexive,symmetric and transitive

The relation R defined in the set A={-1,0,1} as R={(a,b):a=b^2} Chech whether R is reflexive, symmetric and transitive.

Give a relation on a set A={1,2,3,4} which is reflexive, symmetric and not transitive.

Consider the relation in the set N of natural numbers defined as R={(a,b):ab is a factor of 6}. Determine whether the relation is reflexive, symmetric or transitive.

V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  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 on R defined as R={(a ,\ b): alt=b} , is refl...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Show that the relation R on 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 xle12},giv...

    Text Solution

    |

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

    Text Solution

    |

  9. Show that the relation R. in the set A of all points in a place given ...

    Text Solution

    |

  10. Show that the relation R. defined in the set A of all triangle as R={(...

    Text Solution

    |

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

    Text Solution

    |

  12. Let L be the set of all line in XY place and R be the relation in L de...

    Text Solution

    |

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

    Text Solution

    |

  14. Let R be the relation in the set N given by R={(a,b):a=b -2,b gt 6} c...

    Text Solution

    |

  15. Let A be the set of all 50 students of class X in a school. Let f : A...

    Text Solution

    |

  16. The function f:NtoN given by f(x)=2x

    Text Solution

    |

  17. Prove that the function f: R rarr R given by f(x)=2 x is one-one and o...

    Text Solution

    |

  18. Show that the function f: N rarr N, given by f(1)=f(2)=1 and f(x)=x-1,...

    Text Solution

    |

  19. Check the injective and surjective of the following functions : f : R ...

    Text Solution

    |

  20. Show that f : N rarr N given by f(x) = { ((x +1), if x is odd), ((x ...

    Text Solution

    |