Home
Class 11
MATHS
Let A={1,2,3....14}. Define a relation R...

Let A={1,2,3....14}. Define a relation R from A to A by `R={(x,y) : 3x-y=0," where "x, y in A}`. Write down its domain, condomain and range.

Text Solution

Verified by Experts

The correct Answer is:
Domain: {1,2,3,4,5}, Range = {2, 3,4,5,6}, Codomain = {1, 2, 3, 4, 6}
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems|34 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|19 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

Similar Questions

Explore conceptually related problems

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

A =(1, 2, 3, 5) and B= {4, 6, 9). Define a relation R from A to B by R= {(x, y): the difference between x and y is odd, x in A, y in B} . Write R in roster form.

A = {(1,2,3,......10} The relation R defined in the set A as R = {(x,y) : y = 2x} . Show that R is not an equivalence relation.

R= {(x,y): x, y in N, x + y= 8} . Find the domain and range of R.

A = {2, 3, 4, 5} , B= {3, 6,7}. A relation from A to B is R defined as, x R y hArr x and y are prime numbers. Find domain and range of R.

R= {(x, y): x in N, y in N and x + y = 10} . Write domain and range of R.

Let R be the relation on Z defined by R= {(a,b): a, b in Z, a-b "is an integer"). Find the domain and range of R.

The ordered pair (5,2) belongs to the relation R= {(x,y): y= x-5, x, y in Z}

The relation R difined the set Z as R = {(x,y) : x - yin Z} show that R is an equivalence relation.

If R= {(x,y): x, y in W, x^(2)+ y^(2)= 25} , then find the domain and range of R.

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Textbook Illustrations for Practice Work
  1. If A xx B={(,(p,q),(p,r)),(,(m,q),(m,r)):}}, find A and B.

    Text Solution

    |

  2. Let A={1,2,3,4,5,6}. Define a relation R form A to A by R= {(x,y) : y=...

    Text Solution

    |

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

    Text Solution

    |

  4. The figure shows a relation between the sets P and Q. Write this relat...

    Text Solution

    |

  5. Let A={1,2} and B={3,4}. Find the number of relations from A to B.

    Text Solution

    |

  6. Let N be the set of natural numbers and the relation R be defined on N...

    Text Solution

    |

  7. Examine each of the following relations given below and state in each ...

    Text Solution

    |

  8. Examine each of the following relations given below and state in each ...

    Text Solution

    |

  9. Examine each of the following relations given below and state in each ...

    Text Solution

    |

  10. Let N be the set of natural numbers. Define a real valued function f: ...

    Text Solution

    |

  11. Define the function f: R to R by y=f(x)=x^(2), x in R. Complete the Ta...

    Text Solution

    |

  12. Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R...

    Text Solution

    |

  13. Define the real valued function f: R -{0} to R" defined by "f(x)=1/2 x...

    Text Solution

    |

  14. Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f...

    Text Solution

    |

  15. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non...

    Text Solution

    |

  16. Let R be the set of real numbers. Define the real function f: R to R b...

    Text Solution

    |

  17. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

    Text Solution

    |

  18. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

    Text Solution

    |

  19. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

    Text Solution

    |

  20. Let f={(1,1),(2,3),(0,-1),(,-1,-3)} be a linear function from Z into Z...

    Text Solution

    |