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Maths-

General

Easy

Question

If $R equals left curly bracket open parentheses a comma b close parentheses colon open vertical bar a plus b close vertical bar equals a plus b right curly bracket$ is a relation defined on a set $open curly brackets negative 1 comma blank 0 comma blank 1 close curly brackets comma$ then $R$ is

Reflexive
Symmetric
Anti symmetric
Transitive

The correct answer is: Symmetric

Let $open parentheses a comma b close parentheses element of R.$ Then,
$open vertical bar a plus b close vertical bar equals a plus b rightwards double arrow open vertical bar b plus a close vertical bar equals b plus a rightwards double arrow left parenthesis b comma a right parenthesis element of R$
$rightwards double arrow R$ is symmetric

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