Sets & RelationseasyFree

Classify R={(2,2),(3,3),(4,4),(1,2)} on {1,2,3,4} | JEE

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

Question
Let A={1,2,3,4}A = \{1, 2, 3, 4\}, and let R={(2,2),(3,3),(4,4),(1,2)}R = \{(2, 2), (3, 3), (4, 4), (1, 2)\} be a relation on AA. Then RR is:
AReflexive
BSymmetric
CTransitivecorrect
DEquivalence
Solution
(1,1)∉R⇒R(1, 1) \notin R \Rightarrow R is not reflexive. (1,2)∈R(1, 2) \in R but (2,1)∉R⇒R(2, 1) \notin R \Rightarrow R is not symmetric. (1,2),(2,2)∈R⇒(1,2)∈R(1, 2), (2, 2) \in R \Rightarrow (1, 2) \in R, and no chain is left open ⇒R\Rightarrow R is transitive. ∴R\therefore R is transitive. Correct answer: (3)
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