Complex Number Circle Intersection Distance (Je… | ExamDuo
Chords & Intersection of Circles
Hard
Complex Number Circle Intersection Distance
Let ω=zz+k1z+k2iz+λ(1+i),k1,k2∈R. Let Re(ω)=0 be the circle C of radius 1 in the first quadrant touching the line y=1 and the y-axis. If the curve Im(ω)=0 intersects C at A and B, then 30(AB)2 is equal to _______.