Differentiation - Tangents and Normals at a Point

Differentiation - Tangents and Normals at a Point

Find the coordinates of point \(Q\) on the curve \(y = x^{2} - 2x + 8\) for which the normal at \(Q\) is perpendicular to the line \(5y = 4x - 3\).

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Answer:\(Q=\left(\frac75,\frac{179}{25}\right)\)

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