Steps of construction:\\\\((i)\\\\) With \\\\(M\\\\) as centre and a convenient radius, draw an arc intersecting the line \\\\(AB\\\\) at two points \\\\(C\\\\) and \\\\(B\\\\).\\\\((ii)\\\\) With \\\\(C\\\\) and \\\\(D\\\\) as centres and a radius greater than \\\\(MC\\\\), draw two arcs, which cut each other at \\\\(P\\\\).\\\\((iii)\\\\) Join \\\\(PM\\\\). Then \\\\(PM\\\\) is perpendicular to \\\\(AB\\\\) through the point \\\\(M\\\\).