Let ℝ³ denote the three-dimensional space. Take two points P = (1, 2, 3) and Q = (4, 2, 7). Let dist(X, Y) denote the distance between two points X and Y in ℝ³. Let S = {X ∈ ℝ³ : (dist(X, P))² − (dist(X, Q))² = 50} and T = {Y ∈ ℝ³ : (dist(Y, Q))² − (dist(Y, P))² = 50}. Then which of the following statements is (are) TRUE?