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 tangents 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?