Home
Class 12
MATHS
Let R be a relation on the set N given b...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA ENGLISH|Exercise All Questions|449 Videos
  • SCALAR OR DOT PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|233 Videos

Similar Questions

Explore conceptually related problems

Let R be the relation in the set N given by R = {(a , b) : a = b-2, b > 6} . Choose the correct answer.(A) (2, 4) in R (B) (3, 8) in R (C) (6, 8) in R (D) (8, 7) in R

Let R be the relation in set N, given by R= {(a,b): a = b-2,b gt 6} . Then,

Let R be a relation from a set A to a set B, then

Let R be a relation on the set of integers given by aRb a= 2^k.b for some integer k. Then, R is

Let R be a relation in N defined by R={(a , b); a , b in N\ a n d\ a=b^2dot} Are the following true: (i)\ (a , a) in R\ AA\ a in N (ii)\ (a , b) in R=>(b , a) in R (iii)\ (a , b) in R ,(b , c) in R=>(a , c) in R

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

Let R be the relation on the set N of natural numbers defined by R={(a ,b): a+3b=12 ,a in N ,b in N}dot Find : (i) R (ii) Domain of R (iii) Range of R

Let R be a relation on A = {a, b, c} such that R = {(a, a), (b, b), (c, c)}, then R is

Let R be the relation on the set R of all real numbers defined by a R b Iff |a-b| le1. Then R is

If the relation R be defined on the set A={1,2,3,4,5} by R={(a,b): |a^(2)-b^(2)|lt 8}. Then, R is given by …….. .

RD SHARMA ENGLISH-RELATIONS-All Questions
  1. Let the relation R be defined in N by aRb, if 2a + 3b = 30. Then R = …...

    Text Solution

    |

  2. Write the smallest equivalence relation on the set A={1,\ 2,\ 3} .

    Text Solution

    |

  3. Let R be a relation on the set N given by R={(a ,\ b): a=b-2,\ b >6}do...

    Text Solution

    |

  4. Which of the following is not an equivalence relation on Z ? a\ R\ b...

    Text Solution

    |

  5. R is a relation on the set Z of integers and it is given by (x ,\ y) i...

    Text Solution

    |

  6. Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the ...

    Text Solution

    |

  7. Let R be the relation over the set of all straight lines in a plane ...

    Text Solution

    |

  8. If A={a ,\ b ,\ c} , then the relation R={(b ,\ c)} on A is (a) reflex...

    Text Solution

    |

  9. Let A={2,\ 3,\ 4,\ 5,\ .......\ 17 ,\ 18} . Let ' ' be the equivalenc...

    Text Solution

    |

  10. LetA = {1, 2, 3}Then number of relations containing (1, 2) a n d (1, 3...

    Text Solution

    |

  11. The relation ' R ' in NxxN such that (a ,\ b)\ R\ (c ,\ d)hArra+d=b+c ...

    Text Solution

    |

  12. If A={1,\ 2,\ 3},\ \ B={1,\ 4,\ 6,\ 9} and R is a relation from A to B...

    Text Solution

    |

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

    Text Solution

    |

  14. A relation varphi from C to R is defined by x\ varphi\ yhArr|x|=y . Wh...

    Text Solution

    |

  15. Let R be a relation on N defined by x+2y=8. The domain of R is

    Text Solution

    |

  16. R is a relation from {11, 12, 13} to {8, 10, 12} defined by y=x-3 ....

    Text Solution

    |

  17. Let R={(a ,\ a),\ (b ,\ b),\ (c ,\ c),\ (a ,\ b)} be a relation on set...

    Text Solution

    |

  18. Let A={1,\ 2,\ 3} and R={(1,\ 2),\ (2,\ 3),\ (1,\ 3)} be a relation on...

    Text Solution

    |

  19. If R is the largest equivalence relation on a set A and S is any relat...

    Text Solution

    |

  20. If R is a relation on the set A={1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9} gi...

    Text Solution

    |