The normal to the curve y = x 3 + 6x 2 34x + 44 at

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The normal to the curve y = x3 + 6x2 – 34x + 44 at the point P(2, 8) cuts the x-axis at A and the y-axis at B. Show that the mid-point of the line AB lies on the line 4y = x + 9.

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