Home
Class 12
MATHS
Value of omega^(n)+omega^(2n)," where "o...

Value of `omega^(n)+omega^(2n)," where "omega=(-1+isqrt3)/(2)andn=3k+1,` is

A

0

B

`-1`

C

1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - B)|14 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise HS (XI) AND WBJEE 2018 (GROUP - C)|17 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2017 (UNIT-7)|1 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

Value of w^n+w^(2n) ,where w=(-1+isqrt3)/2 and n=3k+1,is____

The value of (1-omega+omega^(2))^(5)+(1+omega-omega^(2))^(5) , where omega and omega^(2) are the complex cube roots of unity is

If 1, omega, omega^(2) are the cube roots of unity, then the value of |(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))| is equal to -

If omega is an imaginary cube root of unity then the value of omega^n+omega^(2n) (where n is not a multiple of 3) is

If omega is a cube root of unity then the value of |(1,omega,omega^(2)),(omega,omega^(2),1),(omega^(2),1,omega)| is -

If omega ne 1 is a cube root of unity , then find the value of |{:(1+2omega^(100)+omega^(200)," "omega^2," "1),(" "1,1+omega^(100)+2omega^(200)," "omega),(" "omega," "omega^2,2+omega^(100)+omega^(200)):}|=0

Let omega be an imaginary cube root of unity, then the value of 2 (omega + 1) (omega^(2) +1) +3 (2 omega +1) (2 omega^(2) +1)…+ (n+1) (n omega +1) (n omega ^(2) +1) is-

the area of the triangle formed by 1, omega, omega^2 where omega be the cube root of unity is

If omega is a complex number such that omega ^(3) =1, then the value of (1+ omega -omega^(2))^(4)+(1+ omega ^(2)-omega )^(4) is-

If D_1 =|{:(1,1,1),(1,omega,omega^2),(1,omega^2,omega):}| and D_2= |{:(1,1,omega),(1,1,omega^2),(omega^2,omega,1):}| show that , D_1=sqrt(3i)D_2 where omega=(-1+sqrt(3i))/2 and i=sqrt(-1) .