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At what points does the normal line through the point (1, 2, 1) on the ellipsoid 4x2 y2 4z2 = 12 intersect the sphere x2

At what points does the normal line through the point (1, 2, 1) on the ellipsoid 4x2 y2 4z2 = 12 intersect the sphere x2 y2 z2 = 627

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