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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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The centre of a regular hexagon is at the point z=iz = i. If one of its vertices is at 2+i2 + i, then the adjacent vertices of 2+i2 + i are at the points
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Correct option: D
1+i(1±3)1 + i\left( {1 \pm \sqrt 3 } \right)
Option D (1+i(1±3)1 + i\left( {1 \pm \sqrt 3 } \right)) is correct because it represents the vertices adjacent to 2+i2+i in a regular hexagon centered at ii.

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