(a) Find an equation of the sphere that passes through the point (6, -2, 3) and has...

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(a) Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1).
(b) Find the curve in which this sphere intersects the yz-plane.
(c) Find the center and radius of the sphere

x2 + y2 + z2 - 8x + 2y + 6z + 1 = 0

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