5. The circle \(C\) has equation
$$x ^ { 2 } + y ^ { 2 } - 20 x - 24 y + 195 = 0$$
The centre of \(C\) is at the point \(M\).
- Find
- the coordinates of the point \(M\),
- the radius of the circle \(C\).
\(N\) is the point with coordinates \(( 25,32 )\).
- Find the length of the line \(M N\).
The tangent to \(C\) at a point \(P\) on the circle passes through point \(N\).
- Find the length of the line \(N P\).