The point P lies on the line with equation \(y = mx + c\), 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.

(a) 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.

(b) Find the coordinates of Q in terms of \(m\).