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Suppose that z(1),z(2),z(3) are three ve...

Suppose that `z_(1),z_(2),z_(3)` are three vertices of an equilateral triangle in the Angand plane . Ley `alpha=(1)/(2)(sqrt(3)+i)andbeta` be a non-zero complex number . The points `alphaz_(1)+beta,alphaz_(2)+beta,alphaz_(3)+beta`will be -

A

the vertices of an equilateral triangle

B

the vertices of an isosceles triangle

C

collinear

D

the vertices of an scalene triangle

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The correct Answer is:
A
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