Let O be the origin, the point A be \(\mathrm{z}_{1}=\sqrt{3}+2 \sqrt{2 \mathrm{i}}\), the point B(z2) be such that \(\sqrt{3}\left|z_{2}\right|=\left|z_{1}\right|\) and arg(z2) = arg(z1) + \(\frac{\pi}{6}\). Then
1
area of triangle ABO is \(\frac{11}{\sqrt3}\)
2
ABO is a scalene triangle
3
area of triangle ABO is \(\frac{11}{4}\)
4
ABO is an obtuse angled isosceles triangle
5
area of triangle ABO is \(\frac{13}{\sqrt3}\)