If $z_1, z_2, z_3$ are the vertices of an equilateral triangle and $z$ is its circumcentre,then
- A$\frac{|z-z_1|}{|z-z_2|} = \frac{|z-z_3|}{|z-z_1|}$
- B$|z-z_1| + |z-z_2| + |z-z_3| = 0$
- C$\frac{|z-z_1|}{|z-z_2|} = |z-z_3|$
- D$\frac{|z-z_1| + |z-z_2|}{|z-z_3|} = 1$
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