JEE Math Practice Question

Let $O$ be the origin, the point $A$ be $z_1=\sqrt{3}+2 \sqrt{2} i$, the point $B\left(z_2\right)$ be such that $\sqrt{3}\left|z_2\right|=\left|z_1\right|$ and $\arg \left(z_2\right)=\arg \left(z_1\right)+\frac{\pi}{6}$. Then

1. A.area of triangle ABO is $\frac{11}{4}$
2. B.area of triangle ABO is $\frac{11}{\sqrt{3}}$
3. C.ABO is a scalene triangle
4. D.ABO is an obtuse angled isosceles triangle