Equation for points with constant sum of distances from (2,0,0) and (-2,0,0)

[VU2]

1. Find the equation of the quadric equation that is the set of all points hose sum of their distances from the two points (2,0,0) and (-2,0,0) is 6.

2.I was wondering if rad[(x-2)^2+(y^2)+(z^2)]+rad[(x+2)^2+(y^2)+(z^2)=6 is the equation of the quadric equation?



-vu2

 

[Tanya Sharma]

1. Find the equation of the quadric equation that is the set of all points hose sum of their distances from the two points (2,0,0) and (-2,0,0) is 6.

2.I was wondering if rad[(x-2)^2+(y^2)+(z^2)]+rad[(x+2)^2+(y^2)+(z^2)=6 is the equation of the quadric equation?



-vu2

Hi VU2...

That is correct .But you may simplify it further .

 

[VU2]

Thanks Tanya Sharma for clarifying.

 

[HallsofIvy]

Also you are using the wrong word. In English, a "quadric" equation is one that involves a fourth degree of the variable. What you have is a "quadratic" equation.