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9709 P13 - Nov 2011 - Q7 - 7 marks
341

(i) A straight line passes through the point (2, 0) and has gradient m. Write down the equation of the line.

(ii) Find the two values of m for which the line is a tangent to the curve \(y = x^2 - 4x + 5\). For each value of m, find the coordinates of the point where the line touches the curve.

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