Home
Class 12
MATHS
Show that the relation R in the set {1,2...

Show that the relation R in the set {1,2,3} defined as R={(1,3), (3, 2), (1, 2)} is transitive but neither reflexive nor symmetric.

Text Solution

Verified by Experts

The correct Answer is:
{(2,8) (2, 10), (2, 12), (4,8), (4, 10),(4, 12), (6,8), (6, 10), (6, 12), (8, 10), (8, 12), (10, 12)
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MULTIPLE CHOICE QUESTIONS )|8 Videos

  • PROBABILITY

    BETTER CHOICE PUBLICATION|Exercise Previous year Board.s questions for practice|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

Show that the relation R in the set {1,2,3} given by R = {(1,2),(2,1)} is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1, 2, 3} given by R= {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is symmetric but neither reflexive nor transitive.

Show that the relation R in the set {1, 2, 3} defined as R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive, but neither symmetric nor transitive.

Show that the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)} is reflexive but neither 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 numbers, defined as R = {(a, b) : a le b^2} , is neither reflexive nor symmetric nor transitive.

The relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} is not symmetric.

BETTER CHOICE PUBLICATION-RELATIONS AND FUNCTIONS -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE
  1. Show that the relation R in the set {1, 2, 3} given by R= {(1, 2), (2,...

    Text Solution

    |

  2. Give an example of a relation which is reflexive and transitive but no...

    Text Solution

    |

  3. Show that the relation R in the set {1,2,3} defined as R={(1,3), (3, 2...

    Text Solution

    |

  4. If R is the relation ‘less than' for: A= {2, 4, 6, 8, 10} to B= {8,...

    Text Solution

    |

  5. If R is the relation '' greater than'' for : A = {1, 4, 5,} to B={1...

    Text Solution

    |

  6. Show that the function f:N rarr N given by f(x) = 4x is one-one, but ...

    Text Solution

    |

  7. Show that the function f:N rarr N given by f(x) = 5x is one-one but n...

    Text Solution

    |

  8. Find fog and gof , if f(x) = x^2 , g (x) = x +1

    Text Solution

    |

  9. If f :Rrarr R defined by f(x)= (5x+6)/7 is an invertible function, ...

    Text Solution

    |

  10. Prove that the relation R in Z of integers given by: R = {(x, y): 2x -...

    Text Solution

    |

  11. Prove that the relation R in Z of integers given by: R = {(x, y): 3x -...

    Text Solution

    |

  12. Show that the relation R defined by R = {(a, b) (a - b), is divisible ...

    Text Solution

    |

  13. Check the injectivity and surjectivity of the following function: f ...

    Text Solution

    |

  14. Check the injectivity and surjectivity of the following function: f :...

    Text Solution

    |

  15. If f(x) =x/(x-1) then show that (fof)(x) = x.

    Text Solution

    |

  16. If f:(1,3,4} rarr {1, 2,5} and g:(1,2,5) {1,3} be given by f = {(1, 2)...

    Text Solution

    |

  17. If f : R rarr R defined by : f(x) = frac {3-2x}{4} is an inversible fu...

    Text Solution

    |

  18. If f : R rarr R defined by : f(x) = frac {6-5x}{7} is an inversible fu...

    Text Solution

    |

  19. Prove that the relation R in Z of integers given by: R = {(x, y): 2x -...

    Text Solution

    |

  20. Let f:NrarrY, be a function defined as f(x) = 4x+3, where, Y = {y in ...

    Text Solution

    |