Sphere with tangent plane

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Homework Statement


Find the equation of a sphere of radius 9 which is tangent to the plane x-2y+2z=4 and whose center lies on the x axis.
b. Determine the point where the sphere is tangent to the plane.


Homework Equations





The Attempt at a Solution



My TA told me it might be easier to solver for b first, so I think that the the normal vector of the plane is going to be the same as one of the radii vectors of the sphere, but I really don't know what to do from here could someone point me in the right direction please.
 

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