10 The parametric equations of a curve are \(x = 2 + 5 \cos \theta\) and \(y = 1 + 5 \sin \theta\), where \(0 \leqslant \theta \leqslant 2 \pi\).
- Determine the cartesian equation of the curve.
- Hence or otherwise, find the equation of the tangent to the curve at the point ( \(5 , - 3\) ), giving your answer in the form \(\mathrm { ax } + \mathrm { by } + \mathrm { c } = 0\), where \(a\), \(b\) and \(c\) are integers to be determined.