The locus of the foot of the perpendicular drawn from a focus onto a tangent to the hyperbola is the auxiliary circle. Consider the hyperbola whose foci are (5, 6) and (-3, -2). The foot of the perpendicular from the focus upon a tangent is the point (2, 5). Then the directrix of  the hyperbola corresponding focus (5, 6) is  $ax+by+c=0$ then the value of  $|a+b+c|=$