Find the Standard Form of the Equation of the Sphere $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 66$

Multiple Choice

Find the standard form of the equation of the sphere with the given characteristics. Endpoints of a diameter: (-1,6,1) , (7,-4,-9)

A) $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 66$
B) $( x + 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 66$
C) $( x - 3 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 264$
D) $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z - 4 ) ^ { 2 } = 132$
E) $( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } + ( z + 4 ) ^ { 2 } = 66$