A line is drawn perpendicular to the x-axis cutting the parabola y=4x-x^2 and the line y=12-2x at points P and L respectively

parabola-y4x-x2

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A line is drawn perpendicular to the x-axis cutting the parabola y=4x-x^2 and the line y=12-2x at points P and L respectively. Find the value of x which makes the distance from L to P a minimum?

Answer:

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