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}+ {i \sqrt{3}/{2} and z_{1}, z_{2} z_{3} were in anticlockwise sense, then z_{2} is

Manipal Entrance Test 2019 Math Paper

Question : 25 of 70

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Let z1,z2,z3 be three vertices of an equilateral triangle circumscribing the circle |z|=

. If z1=

i√3

and z1,z2 z3 were in anticlockwise sense, then z2 is

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