Question bank/JEE Main/Mathematics

JEE MainMathematicsEasyRelation

A relation R on set of point of given plane defined
as(A,B)∈RifOA=OB(A,B) \in RifOA = OB where O is fixed point on same plane. Then
relation R is

Show answer and solution
Let R be the given relation
since OA=OA⇒ROA = OA \Rightarrow R is reflexive
OA=OB⇒OB=OA⇒ROA = OB \Rightarrow OB = OA \Rightarrow R is symmetric
OA=OBOA = OB and OB=OCOB = OC
⇒OA=OC⇒R\Rightarrow OA = OC \Rightarrow R is transitive
Hence R is an equivalence relation

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

More JEE Main questionsChapter practice

Need a video for this idea?

Scan any doubt from your notes and get a whiteboard explanation.

Scan a doubtView plans