JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

Suppose

z_1, z_2, z_3

represent the vertices

A, B

, and

C

respectively of a

\triangle A B C

with centroid at

G

. If the mid point of

A G

is the origin, then

View answer and explanation

Correct option: D

4 z_1+z_2+z_3=0

Option D (

4z_1+z_2+z_3=0

) is correct because the midpoint of AG being the origin leads to the given relationship between the complex numbers.

More Questions from COMPLEX NUMBERS

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

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

(z+a b)^3=a^3

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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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