If z and bar z represent adjacent vertic...

If `z and bar z` represent adjacent vertices of a regular polygon of `n` sides where centre is origin and if `(Im(z))/(Re(z)) = sqrt(2) - 1`, then `n` is equal to:

A

(A) `8`

B

(B) `16`

C

(C) `24`

D

(D) `32`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

If Im((z-1)/(2 z+1))=-4 then the locus of z is

If (sqrt(3)-i)^(n)=2^(n) , n in Z, then n is a multiple of

The three vertices of a triangle are represented by the complex numbers 0 , z_(1) and z_(2) . If the triangle is equilateral , then :

If z = ((sqrt(3)+i)^(3)(3i+4)^(2))/((8+6i)^(2)) , then |z| is equal to

If Z= ((sqrt3 +1)^(3) (3i + 4)^(2))/((8+ 6i)^(2)) then |Z| is equal to

If |z^(2)-1|=|z|^(2)+1 , then z lies on :

If |z|=1 and w=(z-1)/(z+1) (where z ne -1 ), then Re (w) is :

If z = (sqrt(3+i))/2 (where i = sqrt(-1) ) then (z^101 + i^103)^105 is equal to

If z=(-2)/(1+sqrt(3) i) , then the value of arg z is

If (3+i)(z+bar(z))-(2+i)(z-bar(z))+14i=0 , where i=sqrt(-1) , then z bar(z) is equal to