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Easy

Question

If $A equals open curly brackets 1 comma blank 2 comma blank 3 close curly brackets comma$ then the relation $R equals left curly bracket open parentheses 11 close parentheses comma open parentheses 22 close parentheses comma open parentheses 31 close parentheses comma left parenthesis 13 right parenthesis right curly bracket$ is

Reflexive
Symmetric
Transitive
Equivalence

The correct answer is: Symmetric

Clearly, $open parentheses 33 close parentheses not an element of R.$ So, $R$ is not reflexive. Also, $left parenthesis 31 right parenthesis$ and $left parenthesis 13 right parenthesis$ are in $R$ but $open parentheses 33 close parentheses not an element of R.$ So, $R$ is not transitive
But, $R$ is symmetric as $R equals R to the power of negative 1 end exponent$

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