Let ω = zz + k1z + k2iz + λ(1+i), k1 , k2 ∈ R.

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

Correct answer is 24