Home
Class 12
MATHS
True or False statements : Let A = (a,...

True or False statements :
Let A = (a,b,c) and R = (a,b),(a,c). Then R is a transitive relation.

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

True or False statements : The relation R = (a,b), (ba,) on the set (A = a,b) is symmetric and transitive.

True or False statements : Let R = (3,1), (1,3), (3,3) be a relation defined on the set A = (1,2,3), then R is symmetric, transitive but not reflexive.

Let A = (a,b,c) and R = (a,a), (b,b), (c,c), (b,c), (a,b) be a relation on A, then R is

Let A={a,b,c} and R={(a,a),(b,b),(a,b),(b,c),(a,c)} be a relation on A. Is R transitive?

Is the relation R = (a,a), (a,b), (b,b). Transitive on the set A = (a,b,c)?

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

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.

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. True or False statements : The relation R = (a,b), (ba,) on the set ...

    Text Solution

    |

  2. Let A be a finite set. Then, each injective function from A into itsel...

    Text Solution

    |

  3. True or False statements : Let A = (a,b,c) and R = (a,b),(a,c). Then...

    Text Solution

    |

  4. The relation R on the set A = {1, 2, 3} defined as R = {(1, 1), (1, 2)...

    Text Solution

    |

  5. The function f : R rarr R defined by f(x) = 1 + x^2 is :

    Text Solution

    |

  6. Every relation which is symmetric and transitive is also reflexive.

    Text Solution

    |

  7. True or False statements : Let N be the set of natural numbers. Then...

    Text Solution

    |

  8. True or False statements : A binary operatio on a set has always the...

    Text Solution

    |

  9. The function f : R rarr R defined by f(x) = 1 + x^2 is :

    Text Solution

    |

  10. True or False statements : Let N be the set of natural numbers. Then...

    Text Solution

    |

  11. True or False statements : The function f : R rarr R defined by f(x)...

    Text Solution

    |

  12. Let A = {0, 1} and N be the set of natural numbers. Then the mapping f...

    Text Solution

    |

  13. True or False statements : The binary operation * defined in Z by a ...

    Text Solution

    |

  14. An integer m is said to be related to another integer n if m is a inte...

    Text Solution

    |

  15. Let R be a relation from a set A to a set B, then:

    Text Solution

    |

  16. True or False statements : Composition of functions is associative.

    Text Solution

    |

  17. True or False statements : The function f : R rarr R defined by f(x)...

    Text Solution

    |

  18. Let f : A rarr B and g : B rarr C be onto functions, show that gof is ...

    Text Solution

    |

  19. Let f : A rarr B and g : B rarr C be onto functions, show that gof is ...

    Text Solution

    |

  20. For all sets A, B and C, if A⊂ C and B ⊂ C,then A∪ B ⊂ C.

    Text Solution

    |