Question

Let ω = z$\bar{z}$ + k1z + k2iz + λ(1+i), k1 , k2 ∈ $\mathbb{R}$. 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 _____

Answer 1

The correct answer is: 24