JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

z_1

and

z_2

be the

n

th root of unity which subtend right angled at the origin. Then,

n

must be of the form

View answer and explanation

Correct option: D

4 k

Option D (

4k

) is correct because the argument difference between two nth roots of unity subtending a right angle at the origin must be

\pm \frac{\pi}{2}

, leading to

n = 4k

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