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Show that plane 2x-24+2+12=0 touches the sphere x+y+2-2x-44+22-3=0 and find the point of contact. 5. Find the equation of the sphere that passes through

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Show that plane 2x-24+2+12=0 touches the sphere x+y+2-2x-44+22-3=0 and find the point of contact. 5. Find the equation of the sphere that passes through the points (4,1,0), (2,-3,4) (1,0,0) and touches the plane 2x+2y-2=11

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