Home
Class 11
MATHS
Define a relation R on the set N of natu...

Define a relation `R` on the set `N` of natural numbers by `R={(x , y): y=x+5, x` is a natural number less than `4, x , y in N}` . Depict this relationship using i. roster form ii. . Write down the domain and range or `Rdot`

Text Solution

Verified by Experts

(i)We have,
R={(x,y):y=x+5,
x is a natural number less than 4`,x,yinN`
R={(1,6),(2,7),(3,8)}
...
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

Define a relation R on the set N of all natural numbers by R = {(x, y) : y = x + 5, x is a natural number less than 4)

Define a relation R on the set N of natural numbers by R" "=" "{(x ," "y)" ":" "y" "=" "x" "+" "5 , x is a natural number less than 4; x, y in N }. Depict this relationship using roster form. Write down the domain and the range...

The relation R on the set N of all natural numbers defined by (x,y)in R hArr x divides y, for all x,y in N is transitive.

Let R be a relation on the set N of natural numbers defined by n\ R\ m if n divides m . Then, R is

Let A={1,2,3,4,5,6} .Define a relation R on set A by R={(x,y):y=x+1} Depict this relation using an arrow diagram Write down the domain,co domain and range of R.

Determine whether Relation R on the set N of all natural numbers defined as R={(x ,\ y): y=x+5 and x<4} is reflexive, symmetric or transitive.

Let A={1,2,3;14}. Define a relation on a set A by R={(x,y):3x-y=0. where x,y in A} Depict this relationship using an arrow diagram.Write down its domain,co-domain and range.

RD SHARMA-RELATIONS-Solved Examples And Exercises
  1. Let R be a relation from N to N defined by R = {(a , b) : adot b in ...

    Text Solution

    |

  2. Let A={1,2,3ddot, 14} . Define a relation on a set A by R={(x , y):3x-...

    Text Solution

    |

  3. Define a relation R on the set N of natural numbers by R={(x , y): y=x...

    Text Solution

    |

  4. Let A={1,2,3,5} B={2,4,9} .Define a relation. from A to B by R= ...

    Text Solution

    |

  5. Write the relation R={(x , x^3): x is a prime number less than 10} in ...

    Text Solution

    |

  6. Let A={1,2,3,4,5,6}dot Let R be a relation on A defined by R={(a , b):...

    Text Solution

    |

  7. Figure 2.15 shows a relationship between the sets P\ a n d\ Q . Write ...

    Text Solution

    |

  8. Let R be the relation on Z defined by R={(a , b): a , b in Z , a-b is ...

    Text Solution

    |

  9. Let R be a relation on NxxN defined by (a , b)\ R(c , d)hArra+d=b+c\ f...

    Text Solution

    |

  10. If A={1,2,4},\ B={2,4,5}a n d\ C={2,5},\ write (A-C)xx(B-C)dot

    Text Solution

    |

  11. If n(A)=3, n(B)=4, then write n(AxxAxxB) .

    Text Solution

    |

  12. If R is a relation defined on the set Z of integers by the rule (x , y...

    Text Solution

    |

  13. If R={(x , y): x , y in Z ,\ x^2+y^2lt=4} is a relation defined on th...

    Text Solution

    |

  14. If R is a relation from set A={11 , 12 , 13} to set B={8, 10 , 12} def...

    Text Solution

    |

  15. Let R={(x , y): x , y in Z ,\ y=2x-4}dotIf\ (a,-2)\ a n d\ (4, b^2) ...

    Text Solution

    |

  16. If A={1,3,5}a n d\ B={2,4} list the elements of R ,\ if\ R={(x , y): x...

    Text Solution

    |

  17. If R={(x , y): x , y in W ,2x+y=8} ., then write the domain and range...

    Text Solution

    |

  18. Let A\ a n d\ B be two sets such that n(A)=3\ a n d\ n(B)=2. If (x , 1...

    Text Solution

    |

  19. If A={1,2,3},\ B="{"1,4,6,9"]"a n d\ R is a relation from A to B defin...

    Text Solution

    |

  20. If R={(x , y): x , y in Z , x^2+y^2lt=4} is a relation on Z,\ then d...

    Text Solution

    |