CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The relation $$R=\left \{(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)\right \}$$ on the set $$A=\left \{1,2,3\right \}$$ is


A
reflexive but not symmetric
loader
B
reflexive but not transitive
loader
C
symmetric and transitive
loader
D
neither symmetric nor transitive
loader

Solution

The correct option is A reflexive but not symmetric
We have $$A=\left \{1,2,3\right \}$$ and $$R=\left \{(1,1), (2,2), (3,3), (1,2), (2,3), (1,3)\right \}$$.

Since $$(1,1), (2,2), (3,3)\in R$$, $$R$$ is reflexive

R is not symmetric because $$(1,2)\in R$$ and $$(2,1)\not {\in}R$$.

R is transitive because $$(1,2), (2,3)\in R$$ and $$(1,3)\in R$$.

$$\therefore$$ The correct answer is $$A$$.

Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image