Match the following columns: \( (3,0) \) is the pt. from which three normal are drawn to the par....
Match the following columns: \( (3,0) \) is the pt. from which three normal are drawn to the parabola \( y^{2}=4 x \) which meet the parabola in the points \( P, Q \) and \( R \).
\( \mathrm{P} \)
Then
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & Area of \( \triangle P Q R \) & (P) & 2 \\
\hline (B) & \begin{tabular}{l}
Radius of circumcircle of \\
\( \triangle P Q R \)
\end{tabular} & (Q) & \( 5 / 2 \) \\
\hline (C) & Centroid of \( \triangle P Q R \) & (R) & \( (5 / 2,0) \) \\
\hline (D) & Circum centre of \( \triangle P Q R \) & (S) & \( (2 / 3,0) \) \\
\hline
\end{tabular}
(1) \( \mathrm{A} \rightarrow \mathrm{Q} ; \mathrm{B} \rightarrow \mathrm{S} \); \( \mathrm{C} \rightarrow \mathrm{S} ; \mathrm{D} \rightarrow \mathrm{P} \)
(2) \( \mathrm{A} \rightarrow \mathrm{P} ; \mathrm{B} \rightarrow \mathrm{Q} ; \mathrm{C} \rightarrow \mathrm{R} ; \mathrm{D} \rightarrow \mathrm{S} \)
(3) \( \mathrm{A} \rightarrow \mathrm{P} ; \mathrm{B} \rightarrow \mathrm{Q} ; \mathrm{C} \rightarrow \mathrm{S} ; \mathrm{D} \rightarrow \mathrm{R} \)
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(4) \( \mathrm{A} \rightarrow \mathrm{R} ; \mathrm{B} \rightarrow \mathrm{S} ; \mathrm{C} \rightarrow \mathrm{Q} ; \mathrm{D} \rightarrow \mathrm{P} \)
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