Intersecting circles problem
Suppose you have two intersecting circles. Find if the perpendicular bisector of the common chord connects the center.
BONUS Find if the perpendiculars of three intersecting circles are concurrent or not?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
The perpendicular bisector of a chord passes through there center . As a line can only have a unique perpendicular bisector, the bisector will pass through the centers of both the circles.