JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

If the points

{z_1},{z_2},{z_3}

are the vertices of an equilateral triangle in the Argand plane, then which one of the following is not correct?

View answer and explanation

Correct option: D

z_1^3 + z_2^3 + z_3^3 + 3\;{z_1}{z_2}{z_3} = 0

Option D (

z_1^3 + z_2^3 + z_3^3 + 3\;{z_1}{z_2}{z_3} = 0

) is not correct because the correct relation for an equilateral triangle in the Argand plane is

z_1^2 + z_2^2 + z_3^2 = {z_1}{z_2} + {z_2}{z_3} + {z_3}{z_1}

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