Find the center-radius form of the equation of a sphere which circumscribes two externally tangentspheres. These two inner spheres meet at (1, 4, 2) and have equations x2+y?+z²– 2x+2y-4z-19 = 0and x? + y? + 2? – 2x – 12y – 42 + 37 = 0.

It is given that the equations of the sphere are x2+y2+z2-2x+2y-4z-19=0 and…

Answered: Find the center-radius form of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Find the center-radius form of the equation of a sphere which circumscribes two externally tangent spheres. These two inner spheres meet at (1,4, 2) and have equations x2+y²+z²–2.x+2y-4z–19 = 0 and x? + y? + 2² – 2x – 12y – 4z + 37 = 0.