If \[{{z}_{1}},{{z}_{2}}\] and \[{{z}_{3}}\] are complex numbers such that \[\left| {{z}_{1}} \right|=\left| {{z}_{2}} \right|=\left| {{z}_{3}} \right|=\left| \frac{1}{{{z}_{1}}}+\frac{1}{{{z}_{2}}}+\frac{1}{{{z}_{3}}} \right|=1,\] then \[\left| {{z}_{1}}+{{z}_{2}}+{{z}_{3}} \right|\]is

If \[{{z}_{1}},{{z}_{2}}\] and \[{{z}_{3}}\] are complex numbers such

1.	If \[{{z}_{1}},{{z}_{2}}\] and \[{{z}_{3}}\] are complex numbers such that \[\left\| {{z}_{1}} \right\|=\left\| {{z}_{2}} \right\|=\left\| {{z}_{3}} \right\|=\left\| \frac{1}{{{z}_{1}}}+\frac{1}{{{z}_{2}}}+\frac{1}{{{z}_{3}}} \right\|=1,\] then \[\left\| {{z}_{1}}+{{z}_{2}}+{{z}_{3}} \right\|\]is
A.	equal to 1
B.	less than 1
C.	greater than 3
D.	equal to 3
Answer» B. less than 1

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If \[{{z}_{1}},{{z}_{2}}\] and \[{{z}_{3}}\] are complex numbers such that \[\left| {{z}_{1}} \right|=\left| {{z}_{2}} \right|=\left| {{z}_{3}} \right|=\left| \frac{1}{{{z}_{1}}}+\frac{1}{{{z}_{2}}}+\frac{1}{{{z}_{3}}} \right|=1,\] then \[\left| {{z}_{1}}+{{z}_{2}}+{{z}_{3}} \right|\]is

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