Which of the condition/conditions in column II are satisfied by the quadrilateral formed by \( z....
Which of the condition/conditions in column II are satisfied by the quadrilateral formed by \( z_{1}, z_{2}, z_{3}, z_{4} \) in order given in column I ?
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & Parallelogram & (P) & \( z_{1}-z_{4}=z_{2}-z_{3} \) \\
\hline (B) & Rectangle & (Q) & \( \left|z_{1}-z_{3}\right|=\left|z_{2}-z_{4}\right| \) \\
\hline (C) & Rhombus & (R) & \( \frac{z_{1}-z_{2}}{z_{3}-z_{4}} \) is purely real \\
\hline (D) & Square & (S) & \begin{tabular}{l}
\( \frac{z_{1}-z_{3}}{z_{2}-z_{4}} \) is purely \\
imaginary
\end{tabular} \\
\hline & (T) & \begin{tabular}{l}
\( \frac{z_{1}-z_{2}}{z_{3}-z_{2}} \) is purely \\
imaginary
\end{tabular} \\
\hline
\end{tabular}
(1) A-P,Q,R,T; B-P,R,S; C-P,R; D-P,Q,R,S,T
(2) A-P,R,S; B-P,Q,R,T; C-P,Q,R,S,T; D-P,R
(3) A-P,Q,R,S,T; B-P,Q,R,T; C-P,R,S; D-P,R
(4) A-P,R; B-P,Q,R,T; C-P,R,S; D-P,Q,R,S,T
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