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An Equivalence relation is always symmetric.(a) True(b) FalseI got this question in an online quiz.My enquiry is from Types of Relations topic in division Relations and Functions of Mathematics – Class 12

Answer»

The correct answer is (a) True

For explanation: The given STATEMENT is true. A relation R in a SET A is said to be an EQUIVALENCE relation if R is reflexive, SYMMETRIC and transitive. Hence, an equivalence relation is always symmetric.



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