$\begin{array}{1 1} \text{Reflexive Only} \\ \text{Symmetric Only} \\ \text{Transitive Only} \\ \text{Reflexive, Symmetric and Transitive} \end{array} $

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Show that the relation \(R\) in the set \(A\) of all the books in a library of a college, given by ( $R = \{ (x, y) : x\;$ and $\; y\;$ have same number of pages$\}$ ) is an equivalence relation.

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