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 roster form. Write down the domain and the range.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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) an arrow diagram.

Let R be the relation on the set N of natural numbers defined by a + 3b = 12. Find : R.

Let R be the relation on the set N of natural numbers given by : R: {(a,b): a-b > 2, b > 3} Then :

Let R be the relation defined on the set N of natural numbers by the rule xRy iff x + 2 y = 8, then domain of R is

Write the following set in roster form: B = {x : x is a natural number less than 6}

Prove that the relation R defined on the set N of natural numbers by xRy iff 2x^(2) - 3xy + y^(2) = 0 is not symmetric but it is reflexive.

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} . Is this relation a function ?

Determine the domain and range of the relation R defined by : R = {(x, x^3): x is prime number less than 10}.

PSEB-RELATIONS AND FUNCTIONS -EXERCISE
  1. The Cartesian product A xx A has 9 elements among which are found (-1,...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. A function f is defined by f(x)= 2x -5. Write down the values of f(-3)

    Text Solution

    |