If the center and radius of the circle |z-2/z-3| = 2 are respectively (α, β) and γ, then 3(α + β + γ) is equal to ​

Question

If the center and radius of the circle \(\left|\frac{z-2}{z-3}\right|=2\) are respectively (α, β) and γ, then 3(α + β + γ) is equal to

(1) 11

(2) 9

(3) 10

(4) 12

Answer 1

Correct option is (4) 12