Home
Class 11
MATHS
If alpha is an imaginary root of the equ...

If `alpha` is an imaginary root of the equation `z^(n)-1=0` then `1+alpha+alpha^(2)+….. .+alpha^(n-1)=`

A

i

B

`-i`

C

0

D

`alpha ^n`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha and beta are roots of the equation x^(2) + x + 1 = 0, then alpha^(2) + beta^(2) is

If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha^(2009)+beta^(2009)=

If alpha, beta and gamma are the roots of the equation x^(3)-8x+8=0 , then sum alpha^(2) and sum (1)/(alpha beta) are respectively

If alpha is an imaginary fifth root of unity then log _(2)|1+alpha+alpha^(2)+alpha^(3)-(1)/(alpha)|=

If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alpha^3-3alpha is the other root.

If alpha and beta are the roots of the equation x^(2) - p(x + 1) - q = 0 , then the value of : (alpha^(2) + 2 alpha + 1)/(alpha^(2)+ 2 alpha + q) + (beta^(2) + 2 beta + 1)/(beta^(2) + 2 beta + q) is :

If alpha is a number satisfying the equation alpha^(2)+alpha+1=0 then alpha^(31) is equal to

If alpha, beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) is

If alpha and beta are the roots of the equation 2x^2-3x + 4=0 , then the equation whose roots are alpha^2 and beta^2, is