(0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points. What are the coordinates of the point which is equidistant from the four points?

\(\left( {\frac{{\rm{a}}}{3},\frac{{\rm{b}}}{3},\frac{{\rm{c}}}{3}} \right)\)

\(\left( {\frac{{{\rm{a}} + {\rm{b}} + {\rm{c}}}}{3},\frac{{{\rm{a}} + {\rm{b}} + {\rm{c}}}}{3},\frac{{{\rm{a}} + {\rm{b}} + {\rm{c}}}}{3}} \right)\)

\(\left( {\frac{{\rm{a}}}{2},\frac{{\rm{b}}}{2},\frac{{\rm{c}}}{2}} \right){\rm{\;}}\)

(0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points

1.	(0, 0, 0), (a, 0, 0), (0, b, 0) and (0, 0, c) are four distinct points. What are the coordinates of the point which is equidistant from the four points?
A.	\(\left( {\frac{{{\rm{a}} + {\rm{b}} + {\rm{c}}}}{3},\frac{{{\rm{a}} + {\rm{b}} + {\rm{c}}}}{3},\frac{{{\rm{a}} + {\rm{b}} + {\rm{c}}}}{3}} \right)\)
B.	(a, b, c)
C.	\(\left( {\frac{{\rm{a}}}{2},\frac{{\rm{b}}}{2},\frac{{\rm{c}}}{2}} \right){\rm{\;}}\)
D.	\(\left( {\frac{{\rm{a}}}{3},\frac{{\rm{b}}}{3},\frac{{\rm{c}}}{3}} \right)\)
Answer» D. \(\left( {\frac{{\rm{a}}}{3},\frac{{\rm{b}}}{3},\frac{{\rm{c}}}{3}} \right)\)