A curve \(C\) is defined parametrically by the equations
\[x = t + \frac{1}{t}, \quad y = t - \frac{1}{t}, \quad t \neq 0.\]
Sketch the curve \(C\), showing clearly the coordinates of the axial intercepts.[2]
Use differentiation to find the values of \(t\) for which the tangents to the curve are parallel to the \(y\)-axis.[3]
Show that the equation of normal at the point where \(t = 2\) is given by \(y = -\frac{3}{5}x + 3\).[3]
The normal at the point where \(t = 2\) cuts the curve \(C\) again at the point \(Q\). Determine the exact coordinates of \(Q\).[3]