JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

|z|=3

, the area of the triangle whose sides are

z, \omega \varepsilon

and

z+\omega \varepsilon

(where

\omega

is a complex cube root of unity) is

View answer and explanation

Correct option: A

9 \sqrt{3} / 4

Option A (

9 \sqrt{{3}} / 4

) is correct because the triangle formed by

z

\omega z

, and

z + \omega z

is equilateral with side length

|z| = 3

, and the area of an equilateral triangle is

\frac{{\sqrt{{3}}}}{{4}} \times side^2

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