Let \( A(x, y, z) \) be a point in \( xy \)-plane, which is equidistant from three points \( (0, 3, 2) \), \( (2, 0, 3) \) and \( (0, 0, 1) \). Let \( B = (1, 4, -1) \) and \( C = (2, 0, -2) \). Then among the statements: \( (S1) \): \( \triangle ABC \) is an isosceles right angled triangle, and \( (S2) \): the area of \( \triangle ABC \) is \( \dfrac{9\sqrt{2}}{2} \).
