Home
Class 11
MATHS
If R is the relation "less than" from A ...

If R is the relation "less than" from `A = {1, 2, 3, 4, 5}` to `B = {1, 3, 5}`, write down the Cartesian product corresponding to R. Also find the inverse relation to R.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise-2(a)|25 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise 2(b)|14 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Frequently Asked Questions|17 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

If 'R' is relation 'less than' from : Set A = {(1, 2, 3, 4, 5} to Set B = {1, 4, 6}, write down the Cartesian Product corresponding to 'R'. Also, find the inverse relation to 'R'.

If A is the relation “less than” from A = {1,2, 3,4, 6, 7} to B = {1, 4, 5}, then R^(-1) equals

If R is the relation less than ^(n) from A={1,2,3,4,5} to B={1,4,5}, write down the set of ordered pairs corresponding to R. Find the inverse of R.

Let R be the relation ''greater than'' from A={1,4,5} to B={1,2,4,5,6,7} . Write down the elements corresponding to R.

Let R be the relation ''is divisor of'' from the set A{1,2,3} to B= [4,10,15]. Write down the set of ordered pairs corresponding to R.

If A = {4, 9, 16, 25}, B = {1, 2, 3, 4} and R is the relation "is square of" from A to B, write down the set corresponding to R. Also find the domain and range of R.

If R be a relation from A = {1,2,3,4} to B= {1,3,5} i.e., (a,b) in R hArr a lt b, then Ro R ^(-1) is

Let R be a relation is multiple of from the set A={1,2,3} to B={4,10,15}. Then, the set of ordered pairs corresponding to R are :

Is the relation R in the set A={1,2,3,4,5} defined as R={(a,b):b=a+1} reflexive ?

MODERN PUBLICATION-RELATIONS AND FUNCTIONS-Illustrative Example
  1. Let R be the relation on the set N of natural numbers defined by R={(a...

    Text Solution

    |

  2. Mr. Yogender Sharma is husband of Mrs. Leelavati. They have sons and a...

    Text Solution

    |

  3. If R is the relation "less than" from A = {1, 2, 3, 4, 5} to B = {1, 3...

    Text Solution

    |

  4. Let A = {1, 2, 3, 4, 5, 6, 7, 8} and R be the relation on A defined by...

    Text Solution

    |

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

    Text Solution

    |

  6. Show that the relation 'gt' on the set R of all real numbers is transi...

    Text Solution

    |

  7. Consider that the set A = {a, b, c}. Give an example of a relation R o...

    Text Solution

    |

  8. Let R be the relation of the set Z of all integers defined by : R = ...

    Text Solution

    |

  9. Show that the relation is parallel to on the set S of all straight lin...

    Text Solution

    |

  10. Prove that the relation R on Z defined by (a ,\ b) in RhArr a-b is di...

    Text Solution

    |

  11. Let n be a positive integer. Prove that the relation R on the set Z of...

    Text Solution

    |

  12. Prove that a relation R defined on NxxN where (a, b)R(c, d) <=> ad = ...

    Text Solution

    |

  13. Which of the following graphs represent the function of x ? Why

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Let N be the set of natural numbers. Define a real valued function ...

    Text Solution

    |

  17. Let f = {(1, 2), (2, 3), (0, 1), ( 1, 3)}be a linear function from...

    Text Solution

    |

  18. Let A = {1,2,3},B={4,5} and let f={(1,4),(2,5),(3,5)}. Show that 'f' i...

    Text Solution

    |

  19. Let N rarr N be defined by f(x) = 3x. Show that 'f' is not an onto fun...

    Text Solution

    |

  20. Let A = {1, 2, 3}, B = {4, 5, 6, 7}and let f = {(1, 4), (2, 5), (3, 6)...

    Text Solution

    |