11th Class
Mathematics
Sample Paper
Maths Olympiad Model Paper-2
question_answer
Let the complex numbers \[{{z}_{1}},\] \[{{z}_{2}}\] and \[{{z}_{3}}\] be the vertices of an equilateral triangle. Let \[{{z}_{0}}\] be the circumventer of the triangle, then \[{{z}_{1}}^{2}+{{z}_{2}}^{2}+{{z}_{3}}^{2}=\]