Home
Class 12
MATHS
Let A = {1, 2, 3}, B = {2, 4} and R = {(...

Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}. Is a relation from A to B ?

Text Solution

AI Generated Solution

To determine whether the relation \( R \) is a relation from set \( A \) to set \( B \), we need to check if \( R \) is a subset of the Cartesian product \( A \times B \). ### Step-by-Step Solution: 1. **Identify Sets**: - Given sets are \( A = \{1, 2, 3\} \) and \( B = \{2, 4\} \). 2. **Calculate the Cartesian Product \( A \times B \)**: ...
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|86 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • PROBABILITY

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|11 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - J) Aakash Challengers|11 Videos

Similar Questions

Explore conceptually related problems

Let A = {1, 2, 3, 4}, and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then, R, is

Let A={1,2,3},\ B={a , b , c , d} be two sets and let R={(1, a),\ (1, c),\ (2, d),(2, c)} be a relation from A to B. Then R^(-1)={(a ,1),\ (c ,1),\ (d ,2),\ (c ,2)} is a relation from B to A.

If A={1,3,5,7},\ B={2,4,6,8, 10} and let R={(1,8),(3,6),(5,2),(1,4)} be a relation form A to B. Then, find Dom(R) and Ran (R)

Let A = {2, 3, 5, 8} and B = {4, 27, 125, 512}, then which of the following are relations from A to B ? Give reasons for your answer. (i) R_(1) = {(2, 4), (3, 125), (8, 512)} (ii) R_(2) = {(2, 125), (512, 8), (3, 27)} (iii) R_(3) = {(2, 512), (3, 125), ( 4,3)} (iv) R_(4) = {(2, 512), (3, 125), (3, 4)}

Let R = {(1, 2), (2, 2), (1, 1), (4,4), (1,3), (3, 3), (3,2)} be a relation on the set {1,2,3,4}. Then,

Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)} . Are the following true?(i) f is a relation from A to B(ii) f is a function from A to B.Justify y

Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16} and f = {(1, 5), (2, 9), (3, 1), (4, 5), (2, 11)} . Are the following true?(i) f is a relation from A to B(ii) f is a function from A to B.Justify y

Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is

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

Let R={(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation the set A= {1, 2, 3, 4} . The relation R is

AAKASH INSTITUTE ENGLISH-RELATIONS AND FUNCTIONS -Try Yourself
  1. Let A = {5, 10, 15} and B = {a(1), a(2), a(3)}. Represent (i) A xx B...

    Text Solution

    |

  2. Let A = {2, 3, 5, 8} and B = {4, 27, 125, 512}, then which of the fol...

    Text Solution

    |

  3. Let A = {1, 2, 3}, B = {2, 4} and R = {(1, 2), (2, 2), (2, 4), (3, 4)}...

    Text Solution

    |

  4. Let R = {(1, -1), (2, 0), (3, 1), (4,2), (5, 3)}. Then (i) Represent R...

    Text Solution

    |

  5. Let A = {1, 2, 3, 4}, B = {1, 3, 4, 8}. Let R = {x, y) : x in A, y in ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. Given R = {(x, x^(3)), is a prime number less than 10}. Find the domai...

    Text Solution

    |

  9. Let a R b the relation on the set N of all natural numbers defined by ...

    Text Solution

    |

  10. Given A = {p, q}. List all the relations on A.

    Text Solution

    |

  11. Given A = {-7, 7}. List all the relations on A.

    Text Solution

    |

  12. Let A = {x, y, z} , B = {3, 5}. Find the number of relations from A to...

    Text Solution

    |

  13. Let A = {a(1), b(1), c(1)} , B = {r, t}. Find the number of relations ...

    Text Solution

    |

  14. Let A={3,5}a n d\ B={7, 11}dot Let R={(a , b): a in A ,\ b in b ,\ a...

    Text Solution

    |

  15. Let A = {3,5}, B = {7,1}. Let R = {(a,b): ainA, binB, a-b is even}. ...

    Text Solution

    |

  16. Let f : R − { − 3, 5 } → R be a function defined as f ( x ) = (2x)/...

    Text Solution

    |

  17. Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . ...

    Text Solution

    |

  18. In the given function, find the co-domain and range

    Text Solution

    |

  19. In the given function, find the domain, co-domain and range.

    Text Solution

    |

  20. Let f : N rarr N and given by f(x) = x + 6. Find f(1), f(3), f(7).

    Text Solution

    |