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cu1rrishleyer cu1rrishleyer
  • 10-01-2017
  • Mathematics
Answered

Find an equation of the sphere that passes through the origin and whose center is (1, -7, 9

Verified Answer :

LammettHash
LammettHash LammettHash
  • 10-01-2017

The distance between any point on the sphere and its center is the radius. The origin is on the sphere, so the radius \(r\) satisfies

\(r^2=(1-0)^2+(-7-0)^2+(9-0)^2=131\)

This means the equation of the circle is

\((x-1)^2+(y+7)^2+(z-9)^2=131\)

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