I have a specific situation in which I need to find the points of intersection of two circles, $k_1$ and $k_2$.
The first circle, $W$, has coordinates $(0,R)$ and is of radius $R$.
The second circle, $L$, has coordinates $(0,b \cdot r)$ and is of radius $r$. (The circles will only intersect if $-1 \le b \le 1$.)
Both of the circles have $x=0$.
The origin, $(0,0)$, is on the circumference of $W$.
$k_1$ and $k_2$ should have coordinates of the form $(\pm x,y)$.