## mathmath333 one year ago Co-ordinate Geometry

$$P (3,1), Q (6,5)$$ 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}}