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JEE MainMathematicsModerateRelation

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

Show answer and solution
For Reflexive
(1,1)(2,2)(3,3)∈R(1,1)(2,2)(3,3) \in R
For symmetric
(1,2)∈R but(2,1)∉R(1,2) \in R\ but(2,1) \notin R Not symmetric
for transitive
(1,2),(2,3)∈R⇒(1,3)∈R(1,2),(2,3) \in R \Rightarrow (1,3) \in R
so transitive

Source: Grass-G / M-17 Mathematics Paper 26 Nov Second.docx

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