If the set {Re (z-z+zz/2-3z+5z): z ∈ C,Re(z)=3} is equal to the interval

Question

If the set \(\left\{Re\left(\frac{z-\bar{z}+z\bar{z}}{2-3z+5\bar{z}}\right):z∈\mathbb{C},Re(z)=3\right\}\) is equal to the interval (α,β], then 24 (β - α) is equal to 

(1) 36 

(2) 42 

(3) 27 

(4) 30

Answer 1

Correct option is (4) 30