# A geometry problem by Archit Tripathi

Geometry Level pending

Find the equation of the director circle to the circle circumscribing the quadrilateral formed by the lines in order, $$2x+3y-2=0$$, $$x+y=0, 2x+5y-1=0$$ and $$5x+27y-1=0$$. If the coefficient of $$x$$ and $$y$$ in the equation is $$a$$ and $$b$$, respectively then find the absolute value of $$a+b$$.

×