Home
Class 11
MATHS
If R is a relation on the set A={1,2,3,4...

If `R` is a relation on the set `A={1,2,3,4,5,6,7,8,9}` given by `x R y, x =3y`, then `R=`

A

`{(3, 1), (6, 2), (8, 2), (9, 3)}`

B

`{(3, 1), (6, 2), (9, 3)}`

C

`{(3, 1), (2, 6), (3, 9)}`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Given, R is a relation on the set `A={1,2,3,4,5,6,7,8,9}` given by `xRy⇔y=3x,` then` R={(3,1),(6,2),(9,3)}`.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|85 Videos

  • SETS

    RD SHARMA|Exercise Solved Examples And Exercises|218 Videos

Similar Questions

Explore conceptually related problems

If R is a relation on the set A={1,2,3,4,5,6,7,8,9} given by xRyy=3x then R=

If R is a relation on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9} given by x\ R\ yhArry=3x , then R= (a) {(3, 1), (6, 2), (8, 2), (9, 3)} (b) {(3, 1), (6, 2), (9, 3)} (b) {(3, 1), (2, 6), (3, 9) (d) none of these

Write the following relations as the sets of ordered pair: A relation R on the set {1,2,3,4,5,6,7} defined by (x,y)in R hArr x is relatively prime to y .

Show that the relation R in the set A = {1, 2, 3, 4, 5,6,7} given by R = {(a , b) : |a - b| " is even" } , is an equivalence relation.

Prove that the relation R in the set A={1,2,3,4,5,6,7} given by R={(a,b):|a-b|iseven} is an equivalence relation.

Let R be a relation defined on set A={1,2,3,4,5,6,7,8} such that R={(2,3)(4,5)(7,8)} .If the domain of R is set B and range is set C then B nn C is

If x={0,1,2,3,4,5,6,7,8,9,10} and Y={ 1,3,5,7,9} then X-Y=___.

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

Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}dot Then, (2,\ 4) in R (b) (3,\ 8) in R (c) (6,\ 8) in R (d) (8,\ 7) in R

Determine whether Relation R on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6} defined as R={(x ,\ y): y is divisible by x} is reflexive, symmetric or transitive.

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. If AsubeB , and CsubeD , prove that AxxCsubeBxxDdot

    Text Solution

    |

  2. If AsubeB , prove that AxxCsubeBxxC for any set Cdot

    Text Solution

    |

  3. If R is a relation on the set A={1,2,3,4,5,6,7,8,9} given by x R y, x ...

    Text Solution

    |

  4. If A={1,2,3},B={4,5,6}, which of the following are relations from AtoB...

    Text Solution

    |

  5. A" "=" "{1," "2," "3." "5}" "a n d" "B" "=" "{4," "6," "9} . Define a ...

    Text Solution

    |

  6. A relation R is defined from {2,3,4,5,} to{3, 6, 7, 10}by : x R y :...

    Text Solution

    |

  7. Let R be a relation in N defined by (x ,y) in R x+2y=8 . Express Ra ...

    Text Solution

    |

  8. The Cartesian product A xxA has 9 elements among which are found (...

    Text Solution

    |

  9. Let A={-1,3,5} and B={2,3} find the following products (i) AxxB (ii) ...

    Text Solution

    |

  10. Express A={(a ,b):2a+b=5,a ,b in W} as the set ordered pairs.

    Text Solution

    |

  11. If AxxB={(a ,1)(b ,3),(a ,3),(b ,1),(a ,2),(b ,2)}, find Aa n dBdot

    Text Solution

    |

  12. Let A={1,2,3}and B={x : x in N ,x is prime less than 5}. Find AxxBa...

    Text Solution

    |

  13. If AxxB={(a ,1)(a ,5),(a ,2),(b ,2),(b ,5),(b ,1)}, find BxxAdot

    Text Solution

    |

  14. If A={1,2},B={3,4}a n dC={4,5,6}dotT h e n , AxxB={1,2}xx{3,4}={(1,3)...

    Text Solution

    |

  15. Findxa n dy , if (x+3,5)=(6,2x+y)dot

    Text Solution

    |

  16. If A={a ,b} and B={1,2,3}, find AxxB ,BxxA and (AxxB)nn(BxxA)

    Text Solution

    |

  17. If A={1,2,3},B={4},C={5}, then verify that: Axx(BuuC)=(AxxB)uu(AxxC)

    Text Solution

    |

  18. A relation R is defined from a set A={2,3,4,5} to a set B=3,6,7,10 as ...

    Text Solution

    |

  19. For any sets A ,B ,C ,D prove that: (AxxB)nn(CxxD)=(AnnC)xx(BnnD)

    Text Solution

    |

  20. For any three sets A ,B ,C prove that: A-(B uu C)=(A-B)nn(A-C)

    Text Solution

    |