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

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, codomain and range.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

Let A = {1, 2, 3, 4,5,6}. Define a relation R from A to A by : R = {(x, y): y= x +1}. Depict this relation by arrow diagram.

Let A = {1, 2, 3, 4} and B = {x,y,z}. Let R be a relation from A into B defined by : R= {(1,x), (1,z), (3,x), (4,y)}. Find the domain and range of R.

A = {1, 2, 3, 5} andB= {4, 6, 9}. Define a relation R Ifom 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.

Let N be the set of natural numbers and the relation R be defined on N such that R = {(x, y) : y = 2x, x, y in N} . What is the domain, co-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.

If R = (x,y) , xy = 12 is a relation on N, write the domain of R.

PSEB-RELATIONS AND FUNCTIONS -EXERCISE
  1. Let A and B be two sets such that n(A) = 3 and n(B) = 2. If (x, 1), (y...

    Text Solution

    |

  2. The Cartesian product A xx A has 9 elements among which are found (-1,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. A = {1, 2, 3, 5} andB= {4, 6, 9}. Define a relation R Ifom A to B by R...

    Text Solution

    |

  6. The Fig2.7 shows a relationship between the sets P and Q. Write this r...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Determine the domain and range of the relation R defined by R = {(x, x...

    Text Solution

    |

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

    Text Solution

    |

  12. Let A = {x, y,z} and B = {1,2}. Find the number of relations from A to...

    Text Solution

    |

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

    Text Solution

    |

  14. Which of the following relations are functions? Give reasons. If it is...

    Text Solution

    |

  15. Which of the following relations are functions? Give reasons. If it is...

    Text Solution

    |

  16. Which of the following relations are functions? Give reasons. If it is...

    Text Solution

    |

  17. Find the domain and range of the following real function:- f(x) = -|x...

    Text Solution

    |

  18. Find the domain and range of the following real function:- f(x)= sqrt(...

    Text Solution

    |

  19. A function f is defined by f(x)= 2x -5. Write down the values of f(0)

    Text Solution

    |

  20. A function f is defined by f(x)= 2x -5. Write down the values of f(7)

    Text Solution

    |