A circle is drawn on an Argand diagram as
(;/ynq e; xuumi,j* p;bb 6ahb shown below. The tangent to the circle from the point
b xei*q ab ;m,ub/6;(h pj;nyu B(0,9) meets the circle at the point A as shown. Let w= OA$^{→}$.
1.Show that ∣w∣=3$\sqrt{3}$.
2.Find arg w.w=$\frac{\pi}{x}$,x=
.
3.Hence write w in the form a+bi where a,b∈R.
w=$\frac{3\sqrt{3}}{x}+\frac{y}{2}i$,x=
, y=
.