Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If a relation $R$ on the set $\{1,2,3\}$ be defined by $R=\{(1,1)\}$, then $R$ is
MathematicsFunctionsKCETKCET 2020
Options:
  • A Reflexive and symmetric
  • B Reflexive and transitive
  • C Symmetric and transitive
  • D Only symmetric
Solution:
1501 Upvotes Verified Answer
The correct answer is: Symmetric and transitive
Let $A=\{1,2,3\}$
$R=\{1,1\}$
$\{2,2\} \notin R, R$ is not reflexive but $R$ is symmetric and transitive.

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.