# Excenters and incenter of a triangle

**Geometry**Level pending

\[{\rm{A}}\left( { - {\rm{1}},{\rm{ 3}}} \right),{\rm{ B}}\left( {{\rm{1}},{\rm{ 5}}} \right)\] are two excenters of a triangle PQR and the remaining excenter C lies on the circle \({x^2} + {y^2} - 6x - 2y - 10 = 0\) then the locus of the incenter of triangle PQR is a circle. Find its radius