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Question

Mathematics Question on Tangents and Normals

Let a curve y = f(x), x ∈ (0, ∞) pass through the points p(132)p ( 1\frac{3 }{2} ) and Q (a,12) ( 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 ______.

Answer

The correct answer is: 5