11 The point \(P\) lies on the line with equation \(y = m x + c\), where \(m\) and \(c\) are positive constants. A curve has equation \(y = - \frac { m } { x }\). There is a single point \(P\) on the curve such that the straight line is a tangent to the curve at \(P\).
- Find the coordinates of \(P\), giving the \(y\)-coordinate in terms of \(m\).
The normal to the curve at \(P\) intersects the curve again at the point \(Q\). - Find the coordinates of \(Q\) in terms of \(m\).
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