If-z-1-and-z-2-are-complex-nth-roots-of-unity-which-sub-tend-right-angle-at-the-origin-then-n-must-be-of-the-form-A-4K-1-B-4K-2-C-4K-3-D-4K-

Question Number 139192 by EnterUsername last updated on 23/Apr/21

If z_{1} and z_{2} are complex n th roots of unity which sub -

tend right angle at the origin, then n must be of the form

(A) 4 K + 1 (B) 4 K + 2

(C) 4 K + 3 (D) 4 K

Answered by mr W last updated on 24/Apr/21

\frac{2 π}{n} \times k = \frac{π}{2}

\Rightarrow n = 4 k

Commented by EnterUsername last updated on 24/Apr/21

OK thanks!