**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:**

**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:**