2023 KSS P1 Q13

2023 KSS P1 Q13

Secondary 4
8 marks

A curve has the equation \(y=x^2+2x+8\). The tangent to the curve at the point where \(x=1\) and the normal to the curve at the point \(x=4\) intersect at the point \(P\). Find the coordinates of \(P\).[8]

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Answer:\(P=\left(\dfrac{254}{41},\dfrac{1303}{41}\right)\)

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