Home
Class 12
MATHS
The relation R defined in N as aRbimplie...

The relation `R` defined in `N` as `aRbimpliesb` is divisible by a is

A

Reflexive but not symmetric

B

Symmetric but not transitive

C

Symmetric and transitive

D

Equivalence relation.

Text Solution

Verified by Experts

The correct Answer is:
A

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MCQ_TYPE|31 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Prove that the relation R on Z defined by (a,b)in R hArr a-b is divisible by 5 is an equivalence relation on Z .

Let n be a fixed positive integer.Let a relation R be defined on Z, as aRb if n is divisible by a-b, then relation R is (i)Reflexive (ii)Symmetric (iii)Transitive (iv) all of these

Show that the relation R defined by R={(a,b):a-b is divisible by 3;a,b in Z} is an equivalence relation.

Let Z be the set of all integers. A relation R is defined on Z by xRy to mean x-y is divisible by 5. Show that R is an equivalence relation on Z.

Let Z be the set of all integers. A relation R is defined on Z by xRy to mean x-y is divisible by 5. Show that R is an equivalence relation on Z.

Let ZZ be the set of all integers and let R be a relation on ZZ defined by a R b hArr (a-b) is divisible by 3 . then . R is

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. Let X={1,2,3,4,5} and Y={1,3,5,7,9}. Which of the following is not a r...

    Text Solution

    |

  2. The relation R defined in A= {1, 2, 3} by aRb if |a^2-b^2| leq 5. Whi...

    Text Solution

    |

  3. The relation R defined in N as aRbimpliesb is divisible by a is

    Text Solution

    |

  4. In the set A = {1, 2, 3, 4, 5}, a relation R is defined by R = {(x, y)...

    Text Solution

    |

  5. Which of one of the following relations on R is equivalence relation

    Text Solution

    |

  6. Let R(1) be a relation defined by R(1)={(ab)|ageb,a,bepsilonR}. Then R...

    Text Solution

    |

  7. Let L denote the set of all straight lines in a plane.Let a relation R...

    Text Solution

    |

  8. Let S be the set of all real numbers. Then the relation R= {(a,b):1+...

    Text Solution

    |

  9. Consider the following: 1. If R={(1,b)epsilonNxxN:a divides b in N} ...

    Text Solution

    |

  10. Let R be a relation over the set NxxN and it is defined by (a,b)R(c,d)...

    Text Solution

    |

  11. Let L be the set of all straight lines in the Euclidean plane. Two li...

    Text Solution

    |

  12. Let R={(x,y):x,yepsilonA,x+y=5} where A={1,2,3,4,5} then R is

    Text Solution

    |

  13. Let S be a set of all square matrices of order 2. If a relation R defi...

    Text Solution

    |

  14. The domain of the function f(x)=sqrt(-log.3 (x-1))/(sqrt(x62+2x+8)) is

    Text Solution

    |

  15. Range of f(x) = ln(3x^2-4x+5) is

    Text Solution

    |

  16. Range of f(x) = 4^x + 2^x + 1 is

    Text Solution

    |

  17. The range of f(x)=logsqrt5 (sqrt2(sinx-cosx)+3) is

    Text Solution

    |

  18. Let f: RrarrR be a function defined by f(x)=(2x^2-x+5)/(7x^2+2x+10) th...

    Text Solution

    |

  19. Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x. ...

    Text Solution

    |

  20. Domain of definition of the functioni f(x)=3/(4-x^(2))+log(10)(x^(3)-x...

    Text Solution

    |