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Suppose that z1, z2, z3 are three vertic...

Suppose that `z_1, z_2, z_3` are three vertices of an equilateral triangle in the Argand plane let `alpha=1/2(sqrt3+i)` and `beta` be a non zero complex number the point `alphaz_1+beta,alphaz_2+beta,alphaz_3+beta` wil be

A

the vertices of an equilateral triangle

B

the vertices of an isosceles triangle

C

collinear

D

the vertices of a scalene triangle

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The correct Answer is:
A
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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  14. The maximum value of absz when the complex number z satisfies the cond...

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