Albanian IMO TST 2010 Question 3
Source:
May 22, 2010
analytic geometryalgebra unsolvedalgebra
Problem Statement
One point of the plane is called if both coordinates are rational and if both coordinates are irrational. Check whether the following statements are true or false:
a) Every point of the plane is in a line that can be defined by rational points.
b) Every point of the plane is in a line that can be defined by irrational points.This maybe is not algebra so sorry if I putted it in the wrong category!