or # Let T be the line passing through the points P(-2, 7) and Q(2, -5) . Let F_1 be the set of all pairs of circles (S_1, S_2) such that T is tangent to S_1 at P and tangent to S_2 at Q , and also such that S_1 and S_2 touch each other at a point, say, M . Let E_1 be the set representing the locus of M as the pair (S_1, S_2) varies in F_1 . Let the set of all straight lines segments joining a pair of distinct points of E_1 and passing through the point R(1,1) be F_2 . Let E_2 be the set of the mid-points of the line segments in the set F_2 . Then, which of the following statement(s) is (are) TRUE? The point (-2, 7) lies in E_1 (b) The point (4/5,7/5) does NOT lie in E_2 (c) The point (1/2, 1) lies in E_2 (d) The point (0,3/2) does NOT lie in E_1

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