SOLUTION: find the equation of the path of a point that moves so that its distance from (4,0) is twice its distance from the line x=1

Question 956781: find the equation of the path of a point that moves so that its distance from (4,0) is twice its distance from the line x=1
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The distance from the path to (4,0) is,

I'm assuming that by distance from that you mean the perpendicular distance to , that is, having no y component, only x.
The distance from the path to is,

.
.
.

The solution is an ellipse centered at (5,0).

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