Home
Class 12
MATHS
R={(b,c)} is defined on set A={a,b,c}. S...

R={(b,c)} is defined on set A={a,b,c}. State whether or not R is symmetric

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|401 Videos

  • PROBABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|467 Videos

  • THREE DIMENSIONAL GEOMETRY

    PRADEEP PUBLICATION|Exercise EXERCISE|373 Videos

Similar Questions

Explore conceptually related problems

R={(b,c)} is defined on set A={a,b,c}. State whether or not R is transitive

Let A be a family of sets and let R be the relation on A defined by X is disjoint from Y. State whether or not R is reflexive on A

If R is a relation on a set A, prove that R is symmetric iff R^-1 = R.

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

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

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

Check whether relation R = {(x, y): x le y^2, x, y in R} , defined on set of real numbers R, is reflexive, symmetric and transitive.

Let L be the set of all lines in a plane and R be the relation on L defined as R = (l,m) : l is perpendicular to m). Check whether R is reflexive, symmetric or transitive.

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.

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. R={(b,c)} is defined on set A={a,b,c}. State whether or not R is symme...

    Text Solution

    |

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

    Text Solution

    |

  3. Let A = (6,7,8,10), B = (2,4,5) a inA , b in B and R be the relation f...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. In the following cases, for the given relation R on the set S, determi...

    Text Solution

    |

  8. In the following cases, for the given relation R on the set S, determi...

    Text Solution

    |

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

    Text Solution

    |

  10. Check whether the relation R defined in the set (1, 2, 3, 4, 5, 6) as ...

    Text Solution

    |

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

    Text Solution

    |

  12. Let A be the set of human beings living in a town at a particular time...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If R is a relation in N xx N, show that the relation R defined by (a, ...

    Text Solution

    |

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

    Text Solution

    |

  19. Show that the relation R defined by (a, b) R(c,d)implies a+d=b+c in...

    Text Solution

    |

  20. Each of the following defines a relation R in N. x R y if xy is squa...

    Text Solution

    |

  21. Each of the following defines a relation R in N. x R y if xy is squa...

    Text Solution

    |