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0606 P22 - Nov 2018 - Q10 - 9 marks
8534

Two lines are tangents to the curve

\(y=12-4x-x^2.\)

The equation of each tangent is of the form

\(y=2k+1-kx,\)

where \(k\) is a constant.

(i) Find the two possible values of \(k\).

(ii) Find the coordinates of the point of intersection of the two tangents.

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