If z=re^(itheta) ( r gt 0 & 0 le theta l...

If `z=re^(itheta)` ( `r gt 0` & `0 le theta lt 2pi`) is a root of the equation `z^8-z^7+z^6-z^5+z^4-z^3+z^2 -z + 1=0` then number of values of `'theta'` is : (a) 6 (b) 7 (c) 8 (d) 9

Verified by Experts

The correct Answer is:

16

Similar Questions

Explore conceptually related problems

If z=re^(itheta) ( r gt 0 & 0 le theta lt 2pi ) is a root of the equation z^8-z^7+z^6-z^5+z^4-z^3+z^2 -z + 1=0 then number of value of 'theta' is :

If z is a complex number satisfying the equaiton z^(6) - 6z^(3) + 25 = 0 , then the value of |z| is

If |z-i|=1 and arg (z) =theta where 0 lt theta lt pi/2 , then cottheta-2/z equals

let z_1,z_2,z_3 and z_4 be the roots of the equation z^4 + z^3 +2=0 , then the value of prod_(r=1)^(4) (2z_r+1) is equal to :

If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of possible values of z is

Common roots of the equation z^(3)+2z^(2)+2z+1=0 and z^(2020)+z^(2018)+1=0 , are

Let z be a complex number having the argument theta , 0 < theta < pi/2 , and satisfying the equation |z-3i|=3. Then find the value of cottheta-6/z

Let z_k be the roots of the equation (z+1)^7+z^7=0 , then sum _(k=0)^6 Re(z_k) is -k/2 , then k is-------------

If |z-1| =1 and arg (z)=theta , where z ne 0 and theta is acute, then (1-2/z) is equal to