JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1

Let

z_1, z_2

and

z_3

are the points on the argand plane which lie on the circle with equation

\left|z-z_0\right|=\frac{4}{\sqrt{3}}

(where

z_0

is the centre of the circle). If

z_1=0, z_2=-4

and

z_3=4+3 z_0

, then

\left|\arg \left(z_0\right)\right|

is equal to (where

\arg Z \in(-\pi, \pi])

View answer and explanation

Correct option: C

\frac{5 \pi}{6}

Option C (

\frac{{5 \pi}}{{6}}

) is correct because by using the properties of equilateral triangles and complex numbers, we can find the argument of z_0.

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