Home
Class 11
MATHS
Given the relations R1 = {(x,y) : x,y in...

Given the relations `R_1 = {(x,y) : x,y in N` and `x + y = 6}`

Text Solution

Verified by Experts

Dom `(R_1) = {1,2,3,4,5}, range (R_1) = {5,4,3,2,1}`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|215 Videos

  • SEQUENCES AND SERIES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|238 Videos

Similar Questions

Explore conceptually related problems

Given the relations R_2 = {(x,y): x,y in N and x^2 + y^2 le 10} .

Find the domain and range of the relation R = { (x,y) :y=x^3,x is a positive prime number lt 8}

Let A={1,2,3,……,13,14} ,R is the relation on A defined by R={(x,y):3x-y=0 , x,y in A} Write R in a tabular form.

Let A={1,2,3,……,13,14} ,R is the relation on A defined by R={(x,y):3x-y=0 , x,y in A} Find the domain and range of R.

If (3x, x + y) =( 6,3), find x and y

Let X={1,2,3,4,5,6,7,8,9} . Let R_1 be a relation in X given by R_1 ={(x, y): x-y is divisible by 3} and R_2 be another relation on X given by R_2={(x, y):{x ,y} sub{1,4,7} or {x, y} sub {2,5,8} or . {x, y}sub {3,6,9}} . Show that R_1=R_2

A N EXCEL PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. If A = {1,2,3}, B = {3,4} and C={4,5,6} Prove that A xx (B cup C) = (A...

    Text Solution

    |

  2. If A = {1,2,3}, B = {3,4} and Prove that A xx B not= B xx A

    Text Solution

    |

  3. Given the relations R1 = {(x,y) : x,y in N and x + y = 6}

    Text Solution

    |

  4. Given the relations R2 = {(x,y): x,y in N and x^2 + y^2 le 10}.

    Text Solution

    |

  5. If A = {a,b}, write all relation on A

    Text Solution

    |

  6. Find the domain and range of the relation R = { (x,y) :y=x^3,x is a po...

    Text Solution

    |

  7. Find the number of relations which can be defined from P = {1,2,3} to ...

    Text Solution

    |

  8. If A = {1,2,3} and f is a relation on A defined as follows, then find ...

    Text Solution

    |

  9. If A = {1,2,3} and g is relation on A defined as follows, then which o...

    Text Solution

    |

  10. If A = {1,2,3} and h is a relation on A defined as follows, then which...

    Text Solution

    |

  11. Let f : x toY be a function defined by f(x) = x^2 + 1 for all x in X w...

    Text Solution

    |

  12. Let f : x to Y be a function defined by f(x) = x^2 + 1 for all x in X ...

    Text Solution

    |

  13. Let f : x to Y be a function defined by f(x) = x^2 + 1 for all x ∈ X ...

    Text Solution

    |

  14. Find the domain and range of the function f (x) = sqrt( x^2 - 3x +2)

    Text Solution

    |

  15. Draw the graph of the function f(x) = (x^2 - 4)/(x +2)

    Text Solution

    |

  16. Find the domain and the range of the functions f(x) = 1/(2x-1)

    Text Solution

    |

  17. Find the domain and the range of the functions f(x) = x^3

    Text Solution

    |

  18. Let f(x) = x^2 - 2x + 3. Then find f (f (x) )

    Text Solution

    |

  19. If f (x) =1/(1 - x) , show that f(f(f(x))) = x

    Text Solution

    |

  20. Find the domain and range of the function f = {(x, (x^2 -1)/(x - 1)): ...

    Text Solution

    |