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Maths-

General

Easy

Question

Let $A equals open curly brackets 12 comma 34 close curly brackets comma$ and let $R equals left curly bracket open parentheses 22 close parentheses comma open parentheses 33 close parentheses comma open parentheses 44 close parentheses comma left parenthesis 12 right parenthesis right curly bracket$ be a relation on $A.$ Then, $R$ is

Reflexive
Symmetric
Transitive
None of these

The correct answer is: Transitive

Since $open parentheses 11 close parentheses not an element of R.$ So, $R$ is not reflexive
Now, $left parenthesis 12 right parenthesis element of R$ but, $open parentheses 21 close parentheses not an element of R.$ Therefore, $R$ is not symmetric.
Clearly, $R$ is transitive

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