Home
Class 12
MATHS
If w=cos""(pi)/(n)+isin""(pi)/(n) then v...

If `w=cos""(pi)/(n)+isin""(pi)/(n)` then value of `1+w+w^(2)+.......+w^(n-1)` is :

A

1 + i

B

`1 + itan (pi//2n)`

C

`1 + icot (pi//2n)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 13|1 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 14|1 Videos

  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise EXERCISE LEVEL 11|1 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|17 Videos

  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos

Similar Questions

Explore conceptually related problems

If omega = "cos"(pi)/(n) + "i sin" (pi)/(n) , then value of 1 + omega + omega^(2) +...+omega^(n-1) is

Let alpha=(cos(2 pi))/(n)+i(sin(2 pi))/(n),n in N and let A_(k)=x+y alpha^(k)+z alpha^(2k)+...+w alpha^((n-1)k) where (k=0,1,2,...n-1) where x,y,z,...,u,w are n arbitrary complex numbers.Prove that sum_(k=0)^(n-1)|A_(k)|^(2)=n{|x|^(2)+|y|^(2)+|z|^(2)+...+|w|^(2)}

Let omega_(n)=cos((2 pi)/(n))+i sin((2 pi)/(n)),i^(2)=-1 then (x+y omega_(3)+z omega_(3)^(2))(x+y omega_(3)^(2)+z omega_(3))=