Consider a family of circles passing through the intersection points of the lines \(\sqrt{3}(y-1)=(x-1)\) and \((y-1)=\sqrt{3}(x-1)\) and having its centre on the acute angle bisector of the given lines.

(a)Show that the common chords of each member of the family and the circle \[x^2+y^2+4x-6y+5=0\] are concurrent.

(b)If the point of concurrency is (a,b) then the value of a+b is ?

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