A circle is drawn on an Arga
snify z/zusg8(+hxac:b sl/*dtft4 . h+ q;2ind diagram as shown below. The tangent to the circle from the point
i.+ *2dhc4bzf zqia x( ;y :/g8st/ f+slthunsB(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=
.