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If the directed graph of a relation shows a reverse arrow for every arrow, what type of relation is it?

Answer and explanation

Correct answer: Symmetric

Step 1: In a directed graph, an arrow from (a) to (b) means ((a,b)\in R). Step 2: If every arrow has its reverse arrow, then ((b,a)\in R) also holds. Step 3: Two-way arrows are a visual sign of symmetry.

Related tags

DigraphSymmetric RelationGraph RepresentationRelations And FunctionsMathematicsClass 12 Mcq

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