Home
Class 12
MATHS
Let R be the relation in the set {1,2,3,...

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

A

R is reflexive and symmetric but not transitive

B

R is reflexive and transitive but not symmetric

C

R is symmetric and transitive but not reflexive

D

R is an equivalence relation.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    OMEGA PUBLICATION|Exercise IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE |12 Videos

  • PUNJAB BOARD-MATHEMATICS 2018

    OMEGA PUBLICATION|Exercise SERIES -C|19 Videos

  • SAMPLE QUESTION PAPER

    OMEGA PUBLICATION|Exercise QUESTIONS|78 Videos

Similar Questions

Explore conceptually related problems

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

Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), (1, 1), (4,4), (1, 3), (3, 3), (3, 2) then (a)R is reflexive and symmetric but not transitive (b)R is reflexive and transitive but not symmetric (c)R is symmetric and transitive but not reflexive (d)R is an equivalence relation

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.

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

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.

State the reason for the relation R, in the set {1,2,3} given by R= {(1,2), (2, 1), not to be transitive.

Which of the following graphs of relations defines a transitive relation in A = {1, 2, 3, 4} ? R_1 = {(1, 2), (3, 4), (2, 3), (2, 4)} , R_2 = (1, 2), (3, 4), (2, 4)} .

OMEGA PUBLICATION-RELATIONS AND FUNCTIONS -MULTIPLE CHOICE QUESTIONS (MCQs)
  1. Let the relation in the set {1, 2, 3, 4} given by R= {(1, 2), (2, 2), ...

    Text Solution

    |

  2. Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b...

    Text Solution

    |

  3. Let f:R-R be defined as f(x) = x^4, then (a) f is one-one (b) f is man...

    Text Solution

    |

  4. Let f : R to R be defined as f(x) = 3x. Then a. f is one-one onto b...

    Text Solution

    |

  5. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

    Text Solution

    |

  6. Let f : R – {4/3}rarrR be a function defined as f (x) = 4x/(3x+4) T...

    Text Solution

    |

  7. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

    Text Solution

    |

  8. Let A = {1, 2, 3} Then number of relations containing (1, 2) and (1, 3...

    Text Solution

    |

  9. Let A = {1, 2, 3} Then number of equivalence relations containing (1,...

    Text Solution

    |

  10. Number of binary operations on the set {a, b} is :

    Text Solution

    |

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

    Text Solution

    |

  12. Let R be the relation in the set N given by R ={(a,b) : a = b-2, g gt ...

    Text Solution

    |

  13. Let f : R rarr R be defined as f(x) = x^4. Choose the correct answer.

    Text Solution

    |

  14. Let f : R to R be defined as f(x) = 3x. Then a. f is one-one onto b...

    Text Solution

    |

  15. If f : R rarr R be given by: f(x) = (3-x^3)^1//3, then f(f(x)) is:

    Text Solution

    |

  16. Let f : R - {-4/3} rarr R be a function defined as f(x) = (4x)/(3x+4)....

    Text Solution

    |

  17. Consider a binary operation '*' on N defined as a xx b =a^(3) + b^(3)....

    Text Solution

    |

  18. Let A = {1, 2, 3} Then number of relations containing (1, 2) and (1, 3...

    Text Solution

    |

  19. Let A = {1, 2, 3} Then number of equivalence relations containing (1,...

    Text Solution

    |

  20. Number of binary operations on the set {a, b} is :

    Text Solution

    |