Constant Distance Ratio Sphere

Geometry Level 5

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

Find its radius to 2 decimal places.


Inspiration.

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