complex numbers question (1 Viewer)

[lsdpoon1337]

Given the moduli of z1= (2) - (3^0.5)(a) + ai and
z2= (3^0.5)(b) - 1 + ((3^0.5) - b) i are equal, the argument of z2/ z1 is pi/2. Find the value of the real numbers a and b.

Thanks

 

[Affinity]

(z1)i = z2