Consider a 'n' sided regular polygon A1,A2,.....An having it’s center at origin. If 'z1' represents the vertex A1 then complex number representing the vertex that is adjacent to A1, are:

see full answer

Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*

An Intiative by Sri Chaitanya

± z1e2πin

± z1eiπn

z1e±i2πn

None

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Vertices adjacent to z1 are z2 and zn Now z2z1=1⇒z2z1=e2πi/n⇒z2=z1e2πi/nAlso z1zn=1⇒z1zn=e2πi/n⇒z1=zne2πi/n

Watch 3-min video & get full concept clarity