0606 P23 - Nov 2022 - Q4 - 6 marks
7910
The line \(y=kx+6\) intersects the curve \(y=x^3-4x^2+3kx+2\) at the point where \(x=2\).
(a) Find the value of \(k\).
(b) Show that the line intersects the curve at only one point.
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