For any complex number w = c + id, let arg(w) ∊ (-π, π) where i = √-1. Let α and β be real numbers such that for all complex numbers z = x+it satisfying arg(z+α/z+β)=π/4, the ordered pair (x, y) lies on the circle x²+y²+5x-3y+4=0. Then which of the following statements is (are) TRUE?
A. α=1
B. αβ=4
C. αβ=-4
D. β=4
