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 isA- A functionB- Not symmetricC- TransitiveD- Reflexive

The correct option is B Not symmetric (2,4),(2,3)∈R⇒2 has two images ⇒ R is not function (1,1)∉ R⇒ is not reflexive (2,3)∈R,(3,2)∉R⇒ R is not symmetric (4,2),( ...

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

Byju's Answer

Standard XII

Mathematics

Empty Relations

Let R =1,3,4,...

Question

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

A function

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

Transitive

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

Not symmetric

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

Reflexive

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

Open in App

Solution

The correct option is C
Not symmetric

(2,4),(2,3) $\in$ R $\Rightarrow$ 2 has two images
$\Rightarrow$ R is not function
(1,1) $\notin$ R $\Rightarrow$ is not reflexive
(2,3) $\in$ R,(3,2) $\notin$ R $\Rightarrow$ R is not symmetric
(4,2),(2,4) $\in$ R but (4,4) $\notin$ R $\Rightarrow$ not transitive

Suggest Corrections

Similar questions

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

R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)}

is a relation on the set

A = {1, 2, 3, 4}

, the relation R is

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

Q. Let

A = {2, 3, 4, 5}

be a set and

R = {(2, 2), (3, 3), (4, 4), (5, 5), (2, 3), (3, 2), (5, 3), (3, 5)}

be a relation on

A

. Then

R

is:

Q. Let R be the relation on the set A = {1, 2, 3, 4} given by
R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)}. Then,
(a) R is reflexive and symmetric but not transitive
(b) R is reflexive and transitive but not symmetric
(c) R is symmetric and transitive but not reflexive
(d) R is an equivalence relation

Join BYJU'S Learning Program

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

The correct option is C Not symmetric (2,4),(2,3)∈R⇒2 has two images ⇒ R is not function (1,1)∉ R⇒ is not reflexive (2,3)∈R,(3,2)∉R⇒ R is not symmetric (4,2),(2,4) ∈ R but (4,4) ∉ R ⇒ not transitive