In the quadrilateral \(ABCD\), the points \(A\), \(B\) and \(D\) are at \((3, 3)\), \((0, -1)\) and \((6, 2)\) respectively. The line \(BD\) bisects the line \(AC\) at right angles at the point \(M\). Find the equation of \(BD\) and of \(AC\).

Calculate

- the coordinates of \(M\),
- the coordinates of \(C\),
- the area of the quadrilateral \(ABCD\).