Only reals accepted ; )

Geometry Level 4

\(P(3 , 1)\) , \(Q(6 , 5)\) and \(R(x,y)\) are three points such that \(\angle PRQ=90^\circ\). Also, area of \(\triangle PQR\) is \(7 \text{ units}^2\). Find the number of points \(R\) possible.

Note: Only real values of \(x,y\) accepted.

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