Home
Class 12
MATHS
If alpha = cos((8pi)/11)+i sin ((8pi)/11...

If `alpha = cos((8pi)/11)+i sin ((8pi)/11)` then `Re(alpha + alpha^2+alpha^3+alpha^4+alpha^5)` is

A

`(1)/(2)`

B

`0`

C

`(-1)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|58 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If 4nalpha=pi , then the numerical value of : tanalphatan2alphatan3alpha…..tan(2n-1)alpha=

If alpha in[-pi, pi] such that sqrt((1-sin alpha)/(1+sin alpha))=sec alpha-tan alpha Then

The number of all possible 5-tuples alpha, alpha_(2), alpha_(3), alpha_(4), alpha_(5) such that alpha_(1) + alpha_(2) sinx + alpha_(3) cosx + alpha_(4) sin2x + alpha_(5) cos2x = 0 holds for all x is :

If a variable takes the discrete values : alpha + 4, alpha - (7)/(2), alpha - (5)/(2), alpha - 3, alpha - 2, alpha + (1)/(2), alpha - (1)/(2), alpha + 5, (alpha gt 0) , then the median is :

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

Find the coefficient of alpha^(6) in the product (1+alpha+alpha^(2))(1+alpha+alpha^(2))(1+alpha+alpha^(2)+alpha^(3)) (1+alpha)(1+alpha)(1+alpha) .

If alpha is a complex number such that alpha^(2)+alpha+1=0 then alpha^(31) is