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Define a Symmetric Relation ?

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Question

Define a symmetric relation ?

Definition
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Solution

A relation R on a set A is said to be symmetric if

(a, b) ∈ R

⇒  (b, a)  ∈ R for all b ∈ A

i.e.  aR⇒ bRa for all , ∈ A

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Chapter 1: Relations - Exercise 1.3 [Page 30]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 1 Relations
Exercise 1.3 | Q 11 | Page 30

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