9709 P12 - Jun 2016 - Q11II - 3 marks
327
The function \(f\) is defined by \(f : x \mapsto 6x - x^2 - 5\) for \(x \in \mathbb{R}\).
Given that the line \(y = mx + c\) is a tangent to the curve \(y = f(x)\), show that \(4c = m^2 - 12m + 16\).
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