Consider the locus of the complex number z in the Argand plane is given by Re(z) -2 = |z - 7 + 2i|. Let P(z_{1}) and Q (z_{2}) be two complex number satisfying the given locus and also satisfying arg (z_{1} - (2 + αi/z_{2} -(2 + αi)) = π/2 (α ∈ R) then the minimum value of PQ is divisible by

(A) 3

(B) 5

(C) 7

(D) 2