MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Transitive Relations

Let A= 1, 2...

Question

Let $A = {1, 2, 3}$ and $R = {(1, 3), (3, 3)}$ then the relation R on A is:

A

reflexive

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

symmetric

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

transitive

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

D

all the given

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D transitive
For $1 R 3$ and $3 R 3$ , there exists $(1, 3)$ . So, $R$ is transitive on $A$ .

Suggest Corrections

thumbs-up

0

Similar questions

A = {1, 2, 3}

R = A \times A

then what is the relation

R

A

.

A = {1, 2, 3}

R = {(1, 1), (1, 3), (3, 1), (2, 2), (2, 1), (3, 3)}

then the relation R on A is:

A = {1, 2, 3}

R = {(2, 2), (3, 1), (1, 3)}

then the relation R on A is:

A = {1, 2, 3}

R = {(1, 1), (2, 2), (1, 2), (2, 1), (1, 3), (3, 1)}

be a relation on A, then R is:

A = {1, 2, 3}

R = {(1, 2), (2, 3), (1, 3)}

be a relation on

A

R

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Types of Relations

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Transitive Relations

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon