The circles x 2 + y 2 − 6 x + 6 y + 17 = 0 and x 2 + y 2 − 6 x − 2 y + 1 = 0 , a common exterior tangent is drawn thus forming a curvilinear triangle. The radius of the circle inscribed in this triang

Question

The circles x 2 + y 2 − 6 x + 6 y + 17 = 0 and x 2 + y 2 − 6 x − 2 y + 1 = 0 , a common exterior tangent is drawn thus forming a curvilinear triangle. The radius of the circle inscribed in this triangle is

TestHub · Accepted Answer

The given circles are touching each other externally. x = ( 1 + 3 ​ ) 2 3 ​ = 2 3 ​ ( 2 − 3 ​ )

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