For what values of kkk does the system x+y=2x+y=2x+y=2 and x2+y2=kx^2 + y^2 = kx2+y2=k have at least one real solution?
k≥2k \geq 2k≥2
k≥1k \geq 1k≥1
k>0k > 0k>0
k≤2k \leq 2k≤2