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Co-ordinate Geometry
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\(P (3,1), Q (6,5)\) and \( R (x,y) \)are three points such that angle \(\angle PRQ \) is a right angle and area of triangle \(\triangle PRQ\) is \(7\).The number of such points \(R \) that are possible is ? \(\large \color{black}{\begin{align} a.)\ 1\hspace{.33em}\\~\\ b.)\ 2\hspace{.33em}\\~\\ c.)\ 3\hspace{.33em}\\~\\ d.)\ 4\hspace{.33em}\\~\\ \end{align}}\)
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