Let ABCD be a square of side of unit length. Let a circle centered at A with unit radius is drawn. Another circle which touches and the lines AD and AB are tangent to it, is also drawn. Let a tangent line from the point C to the circle meet the side AB at E. If the length of EB is where are integers, then is equal to _______________.
Option: 1 0
Option: 2 1
Option: 3 2
Option: 4 3