4. The hyperbola \(H\) has equation
$$x y = 3$$
The point \(Q ( 1,3 )\) is on \(H\).
- Find the equation of the normal to \(H\) at \(Q\) in the form \(y = a x + b\), where \(a\) and \(b\) are constants.
(5)
The normal at \(Q\) intersects \(H\) again at the point \(R\). - Find the coordinates of \(R\).
(5)