JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

{z_r}\left( {r = 0,1,2, \ldots ,6} \right)

be the roots of the equation

{\left( {z + 1} \right)^7} + {z^7} = 0,

then

\mathop {\sum \,}\limits_{r = 0}^6 \mathrm{Re\;}\left( {{z_r}} \right) =

View answer and explanation

Correct option: D

- 7/2

Option D (-7/2) is correct because the sum of the real parts of the roots is -7/2 based on the properties of complex numbers and the given equation.

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{\left| {1 - i} \right|^x} = {2^x}

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\left|\sum\limits_{r=1}^n z_r\right|

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\alpha, \beta

\gamma

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