"All limits, especially national ones, are contrary to the nature of mathematics… Mathematics knows no races… For mathematics the whole cultural world is a single country" – David Hilbert. "Face problems with a minimum of blind calculation, a maximum of seeing thought" – Hermann Minkowski

Maths prize for 3 Nov 2017: geometry with complex numbers

Geometry with complex numbers

What are the coordinates of the reflection of the point (1,0) in the line ?

A Freddo and fame for every well-reasoned attempt at a solution.