Phương trình mặt cầu (S) có đường kính BC , với B( 0;-1;3 ) ; C( -1;0;-2 ) là
A. $\displaystyle {{x}^{2}}+{{\left( y+1 \right)}^{2}}+{{\left( z-3 \right)}^{2}}=\frac{27}{4}$.
B. $\displaystyle {{\left( x+\frac{1}{2} \right)}^{2}}+{{\left( y+\frac{1}{2} \right)}^{2}}+{{\left( z-\frac{1}{2} \right)}^{2}}=\frac{27}{4}$.
C. $\displaystyle {{\left( x-\frac{1}{2} \right)}^{2}}+{{\left( y-\frac{1}{2} \right)}^{2}}+{{\left( z+\frac{1}{2} \right)}^{2}}=\frac{27}{4}$.
D. $\displaystyle {{\left( x+\frac{1}{2} \right)}^{2}}+{{\left( y+\frac{1}{2} \right)}^{2}}+{{\left( z-\frac{1}{2} \right)}^{2}}=27$.