Question

14. Find equations of two spheres that are centered at the ori-
gin and are tangent to the sphere of radius I centered at
(3,-2.4).
​

Answer 1

Answer:

The distance from the origin to (3,-2,4) is √29, so the smaller radius is √29 - 1 and the larger is √29 + 1, and the equations of the tangent spheres are:

x² + y² + z² = 30 - 2√29 and x² + y² + z² = 30 + 2√29

Step-by-step explanation:

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