Home
Class 12
MATHS
Which of the following relations are fun...

Which of the following relations are functions ?
`R_1` {(1,1),(2,2),(3,3),(4,4),(4,5)}
`R_2` = {(1,1),(2,3),(3,5),(4,7)}
`R_3` = {(1,1),(2,4),(3,9),(4,16),(5,25)}

A

`R_1` and `R_2`

B

`R_2` and `R_3`

C

`R_1` and `R_3`

D

`R_1,R_2` and `R_3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

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

In the following which is a function ? (i) {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)}

which of the following relations are functions from A={1,3,5,7,9} to B={1,2,3,4,5} f={(3,2),(1,5),(5,1),(7,4),(9,5)}

which of the following relations are functions from A={1,3,5,7,9} to B={1,2,3,4,5} f={(1,3),(3,1),(5,3),(5,5),(1,4)}

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

Check whether the following relations are functions or not: R_(1)={(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} (ii) R_(2)={(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} R_(3)={(1,3),(1,5),(2,5)}

There are three relations R_(1) , R_(2) and R_(3) such that R_(1) = {(2,1),(3,1),(4,2)} , R_(2) = {(2,2),(2,4),(3,3),(4,4)} and R_(3) = {(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} then

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}