Let T be the line passing through the points P(-2, 7) and Q(2,-5). Let F, be the set of all pairs of circles (S, S) such that T is tangent to S, at P and tangent to S, at Q, and also such that S, and S, touch each other at a point, say, M. Let E, be the set representing the locus of Mas the pair (S, S) varies in F. Let the set of all straight line segments joining a pair of distinct points of E, and passing through the point R(1, 1) be F. Let E, be the set of the mid-points of the line segments in the set F. Then, which of the following statement(s) is (are) TRUE? (A) The point (-2, 7) lies in E 4 7 (B) The point 5 5 does NOT lie in E2 (C) The point (1) ,1 lies in E E2 3 (D) The point 0, 2 does NOT lie in E