Let a curve y = f(x), x ∈ (0, ∞) pass through the points \(p ( 1\frac{3 }{2} )\) and Q \( ( a,\frac{1 }{2} )\). If the tangent at any point R(b, f(b)) to the given curve cuts the y-axis at the point S (0, c) such that bc = 3, then (PQ)2 is equal to ______.