# A house on a hill is enclosed by a circular fence with center at the front door. The fence is

###### Question:

A house on a hill is enclosed by a circular fence with center at the front door. The fence is made of wooden boards of uniform height. If we use a coordinate system with origin at the center of the circle, then the fence can be described as a2 y2 80. Suppose the elevation at any point on the base of the fence relative to the elevation of the front door is given by 4x - 2y What is the location (point) of minimum elevation of this fence?

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