MathDB

Let

ABCD

be a rectangle with:

AB=a

BC=b

. Inside the rectangle we have to exteriorly tangents circles such that one is tangent to the sides

AB

and

AD

,the other is tangent to the sides

CB

and

CD

. 1. Find the distance between the centers of the circles(using

a

and

b

). 2. When the radiums of both circles change the tangency point between both of them changes, and describes a locus. Find that locus.

Problem Statement