find the locus of the circumcentre of a triangle whose two sides are along the coordinates axes and third side passes through the point of intersection of the lines ax+by+c=0 and lx+my+n=0.

find the locus of the circumcentre of a triangle whose two sides are along the coordinates axes and third side passes through the point of intersection of the lines ax+by+c=0 and lx+my+n=0.
Solution:
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