Home
Class 12
MATHS
Let R(1) be a relation defined by R(1)={...

Let `R_(1)` be a relation defined by `R_(1)={(ab)|ageb,a,bepsilonR}`. Then `R_(1)` is

A

an equivalence relation `R`

B

Reflexive, transitive but not symmetric

C

Symmetric, Transitive but not reflexive

D

Neither transitive nor reflexive but symmetric

Text Solution

Verified by Experts

The correct Answer is:
B
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

Let R_(1) be a relation defined by R_(1)={(a,b)|agtb,a,b in R} . Then R_(1) , is

Let R be a relation defined by R={(9,8),(1,9),(9,6),(7,6),(2,7)} then R^(-1)oR is given by

Let R_(1) and R_(2) be two relation defined as follows : R_(1) = { (a,b) in R^(2) , a^(2) + b^(2) in Q} and R_(2) = {(a,b) in R^(2) , a^(2) + b^(2) cancel(in)Q) where Q is the set of the rational numbers. Then:

Let S be set of all real numbers and let R be relation on S , defined by a R b hArr |a-b|le 1. then R is

Let R be a relation defined on A={1,2,3} by : R={(1,3),(3,1),(2,2)} . R is :

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. In the set A = {1, 2, 3, 4, 5}, a relation R is defined by R = {(x, y)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. if f:[0.oo)->(0,oo), f(x) = x/(1-x) is

    Text Solution

    |

  19. Range of the function f(x)=((x-2)^2)/((x-1)(x-3)) is

    Text Solution

    |

  20. Range of the function f(x)=(x-2)/(x^2-4x+3) is

    Text Solution

    |