Let \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\] be three vertices of an equilateral triangle circumscribing the circle \[|z|\]=\[\frac{1}{2}\]. If \[{{z}_{1}}=\frac{1}{2}+\frac{\sqrt{3}\,i}{2}\] and \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\] are in anticlockwise sense then \[{{z}_{2}}\] is [Orissa JEE 2002]

Let \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\] be three vertices of an equilate

1.	Let \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\] be three vertices of an equilateral triangle circumscribing the circle \[\|z\|\]=\[\frac{1}{2}\]. If \[{{z}_{1}}=\frac{1}{2}+\frac{\sqrt{3}\,i}{2}\] and \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\] are in anticlockwise sense then \[{{z}_{2}}\] is [Orissa JEE 2002]
A.	\[1+\sqrt{3}\,i\]
B.	\[1-\sqrt{3}\,i\]
C.	1
D.	- 1\[\]
Answer» E.

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Let \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\] be three vertices of an equilateral triangle circumscribing the circle \[|z|\]=\[\frac{1}{2}\]. If \[{{z}_{1}}=\frac{1}{2}+\frac{\sqrt{3}\,i}{2}\] and \[{{z}_{1}},{{z}_{2}},{{z}_{3}}\] are in anticlockwise sense then \[{{z}_{2}}\] is [Orissa JEE 2002]

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