Let T be the line passing through the points P(-2,7) and Q(2,-5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q , and also such that S1 and S2 touch each other at a point, say M. Let E1 be the set representing the locus of M as the pair (S1 , S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1,1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then , which of the following statement (s) is (are) TRUE ?