Let S denote the locus of the point of intersection of the pair of lines 4x − 3y = 12α and 4αx + 3αy = 12, where α varies over the set of non-zero real numbers. Let T be the tangent to S passing through the points (p, 0) and (0, q), q > 0, and parallel to the line 4x − (3/√2)y = 0. Then the value of pq is