Test whether the following relations \( R_{1}, R_{2} \), and \( R_{...

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Test whether the following relations \( R_{1}, R_{2} \), and \( R_{3} \) are reflexive symmetric and transitive:
\[
R_{3} \text { on } R \text { defined by }(a, b) \in R_{3} \Leftrightarrow a^{2}-4 a b+3 b^{2}=0 .
\]
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