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(B) The given equation of the sphere is $(x-2)^2+(y-3)^2+(z-6)^2=1$.This represents a sphere with center $C = (2, 3, 6)$ and radius $r = 1$.The distan

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$6$

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(B) The given equation of the sphere is $(x-2)^2+(y-3)^2+(z-6)^2=1$.This represents a sphere with center $C = (2, 3, 6)$ and radius $r = 1$.The distance $d$ from the origin $O(0, 0, 0)$ to the center $C(2, 3, 6)$ is calculated as:$d = \sqrt{(2-0)^2 + (3-0)^2 + (6-0)^2} = \sqrt{4 + 9 + 36} = \sqrt{49} = 7$.The shortest distance from the origin to any point on the sphere is given by the distance from the origin to the center minus the radius of the sphere.Shortest distance $= d - r = 7 - 1 = 6$.

The shortest distance from the origin to a variable point on the sphere $(x-2)^2+(y-3)^2+(z-6)^2=1$ is

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