Home
Class 11
MATHS
If A={1,2,3} and B={4,5,6}, then which o...

If `A={1,2,3} and B={4,5,6}`, then which of the following is a relation from set to B? Give reason:
(i) `R_(1)={(1,5),(2,4),(3,5)}`
(ii) `R_(2)={(4,1),(2,6),(5,1),(2,4)}`
(iii) `R_(3)={(1,4),(2,5),(3,4),(2,6),(3,6)}`
(iv) `AxxB`

Text Solution

Verified by Experts

The correct Answer is:
N/a
`AxxB={1,2,3}xx{4,5,6}`
`" "{(1,4),(1,5),(1,6),(2,4), (2,5),(2.6),(3,4),(3,5),(3,6)}`
(i) `R_(1) sube AxxB`
`therefore R_(1)` is a relation from set A to B.
(ii) `R_(2) cancel(sube) A xx B`
`therefore R_(2)` is not a relation from set A to B.
(iii) `R_(3) sube A xxB`
`therefore R_(3)` is a relation from set A to B.
(iv) `AxxB sube A xx B`
`therefore A xx B` is a relation from set A to B.
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2A|20 Videos

  • RELATIONS AND FUNCTIONS

    NAGEEN PRAKASHAN|Exercise Exercise 2B|14 Videos

  • PROBABILITY

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos

  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos

Similar Questions

Explore conceptually related problems

If A={1,2,3},B{4,5,6} which of the following are ralations from A rarr B? Give reason in suport of yor answer: R_(2)={(1,5),(2,4),(3,6)}

If A={1,2,3}, B={4,5,6},C={1,2,3,9,6} then which of the following is not ture?

Which of the following relations are functions ?Give reason. . R={(1,1),(2,2),(3,3),(4,4),(4,5)}

If A={1,2,3},B{4,5,6} which of the following are ralations from A rarr B? Give reason in suport of yor answer: R_(1)={(1,4),(1,5),(1,6)}

If A={1,2,3},B{4,5,6} which of the following are ralations from A rarr B? Give reason in support of your answer: R_(4)={(4,2),(2,6),(5,1),(2,4)}

If A={1,2,3},B{4,5,6} which of the following are ralations from A rarr B? Give reason in support of your answer: R_(3)={(1,4),(1,5),(3,6),(2,6),(3,4)}

If A={1,2,3},B={4,5,6}, which of the following are relations from A to B? Give reasons in support of your answer.{(1,6),(3,4),(5,2)}( ii) {(1,5),(2,6),(3,4),(3,6)}( iii) {(4,2),(4,3),(5,1)}( iv )A xx B .