- #1
madisonfly
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Homework Statement
Find the Equation of the sphere with points P such that the distance from P to A is twice the distance from P to B.
A(-2, 4, 2), B(4, 3, -1)
Homework Equations
The equation of a sphere would probably be the most relevant equation.
That is (x-h)^2 + (y-k)^2 +(z-l)^2 = r^2
The Attempt at a Solution
So the way I look at it, I figure that I have to set up an equality. Therefore d(PA) = 2d(PB). I'm assuming that since point p isn't given, it is P(x, y, z)? I don't know though. If that's the case, my equation should look something like
(x-2)^2 +(y-4)^2 +(z-2)^2 = 2((x-4)^2 +(y-3)^2 +(z+1)^2). But I'm not sure if I'm approaching the problem the right way. And I don't where to look for the radius. Any input would be appreciated! :)