Sets & RelationseasyFree

Relation R={(1,3),(4,2),(2,4),(2,3),(3,1)} is Not Symmetric | JEE

JEE Maths question with a full step-by-step solution.

Question
Let R={(1,3),(4,2),(2,4),(2,3),(3,1)}R = \{(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)\} be a relation on the set A={1,2,3,4}A = \{1, 2, 3, 4\}. The relation RR is:
ATransitive
BNot symmetriccorrect
CReflexive
DNone of these
Solution
(1,1)∉R⇒R(1, 1) \notin R \Rightarrow R is not reflexive. 2↦42 \mapsto 4 and 2↦3⇒R2 \mapsto 3 \Rightarrow R is not a function. (2,4),(4,2)∈R(2, 4), (4, 2) \in R but (2,2)∉R⇒R(2, 2) \notin R \Rightarrow R is not transitive. (2,3)∈R(2, 3) \in R but (3,2)∉R⇒R(3, 2) \notin R \Rightarrow R is not symmetric. ∴\therefore the correct statement is that RR is not symmetric. Correct answer: (2)
Still stuck on this question?Ask your doubt on WhatsApp
Similar questions
Sets & Relations · easy
The relation R = (1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3) on the set A = 1, 2, 3 is:
Sets & Relations · easy
The relation R is defined in A = 1, 2, 3 by aRb if |a² - b²| ≤ 5 . Which of the following…
Sets & Relations · medium
The relation R defined on the set A = 1, 2, 3, 4, 5 by R = (x, y) : |x² - y²| < 16 is giv…
Sets & Relations · easy
If A is the set of even natural numbers less than 8 and B is the set of prime numbers les…

Solve more, learn faster

Sign up free to solve more JEE Maths questions and explore doMath — timed drills, mastery sprints, bookmarks, and chapter-wise progress tracking.

Sign up freeExplore doMath