The number of pairs \( (x, y) \), where \( x, y \in N \) such that
\begin{tabular}{|l|l|l|l|}
\h....
The number of pairs \( (x, y) \), where \( x, y \in N \) such that
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|l|}{ Column-I } & \multicolumn{2}{|c|}{ Column-II } \\
\hline (A) & \( \frac{1}{x}+\frac{1}{y}=\frac{1}{7} \) & (P) & 1 \\
\hline (B) & \( \frac{1}{x}+\frac{1}{y}=\frac{1}{31} \) & (Q) & 2 \\
\hline (C) & \( (x+y)^{2}+(x-y)^{2}=74 \) & (R) & 3 \\
\hline (D) & \( \frac{1}{x}-\frac{1}{y}=\frac{1}{3} \) & (S) & 4 \\
\hline
\end{tabular}
(1) \( \mathrm{A} \rightarrow \mathrm{R} ; \mathrm{B} \rightarrow \mathrm{R} ; \mathrm{C} \rightarrow \mathrm{Q} ; \mathrm{D} \rightarrow \mathrm{P} \)
(2) \( \mathrm{A} \rightarrow \mathrm{Q} ; \mathrm{B} \rightarrow \mathrm{P} ; \mathrm{C} \rightarrow \mathrm{R} ; \mathrm{D} \rightarrow \mathrm{S} \)
(3) \( \mathrm{A} \rightarrow \mathrm{R} ; \mathrm{B} \rightarrow \mathrm{P} ; \mathrm{C} \rightarrow \mathrm{Q} ; \mathrm{D} \rightarrow \mathrm{S} \)
(4) \( \mathrm{A} \rightarrow \mathrm{S} ; \mathrm{B} \rightarrow \mathrm{R} ; \mathrm{C} \rightarrow \mathrm{P} ; \mathrm{D} \rightarrow \mathrm{Q} \)
.
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