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9709 P11 - Jun 2013 - Q7I - 4 marks
102

A curve is given by the equation \(y = x^2 - 4x + 4\) and a line by the equation \(y = mx\), where \(m\) is a constant. For \(m = 1\), the curve and the line intersect at points \(A\) and \(B\). Find the coordinates of the midpoint of \(AB\).

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