Constant Distance Ratio Sphere

Geometry Level 5

Two points \(A\) and \(B\) in 3-dimensional space have the following coordinates: \(A= (2, 1, 3), B= (10, 10, 15).\) The locus of all the points \( P=(x, y, z) \) that have the property that \( \frac{ PA}{PB} = 2 \) is a sphere.

Find its radius to 2 decimal places.


Inspiration.

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