JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

If the complex numbers

{z_1},\;{z_2},\;{z_3}

satisfying

\frac{{{z_1} + {z_3}}}{{{z_2} - {z_3}}} = \frac{{1 - i\sqrt 3 }}{2}

, then triangle is

View answer and explanation

Correct option: A

An equilateral triangle

Option A (An equilateral triangle) is correct because the given condition implies that two sides are equal and the angle between them is 60 degrees.

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

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z \neq \pm 1

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

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\alpha, \beta

\gamma

|\alpha-\beta|

{z^2} + {\left| z \right|^2} = 0,

z \in C

2x = - 1 + \sqrt 3 i

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