SOLUTION: Find the equation of the graph of all points such that the sum of the distances from (1,0,0) and (-1,0,0) is always equal to 4. Describe the graph.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation of the graph of all points such that the sum of the distances from (1,0,0) and (-1,0,0) is always equal to 4. Describe the graph.      Log On


   



Question 815227: Find the equation of the graph of all points such that the sum of the distances from (1,0,0) and (-1,0,0) is always equal to 4. Describe the graph.
Answer by Alan3354(69443) About Me  (Show Source):
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Find the equation of the graph of all points such that the sum of the distances from (1,0,0) and (-1,0,0) is always equal to 4. Describe the graph.
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In the x-y plane it's the ellipse x%5E2%2F4+%2B+y%5E2%2F3+=+1
In 3-space it's the ellipsoid of revolution with its axis of revolution the x-axis.
x%5E2%2F4+%2B+y%5E2%2F3+%2B+z%5E2%2F3+=+1