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If 1;w;w^2 are cube root of unity and n ...

If `1;w;w^2` are cube root of unity and n is a positive integer;then `1+w^n+w^(2n)` = {3; When n is multiple of 3; 0; when n is not a multiple of 3

A

1

B

`-1`

C

0

D

3

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The correct Answer is:
C
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
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  2. If i=sqrt(-1), then 4+5(-1/2+(isqrt(3))/(2))^(334)+3(1/2+(isqrt(3))/...

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  3. If 1;w;w^2 are cube root of unity and n is a positive integer;then 1+w...

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  4. If n is a multiple of 3, then 1 + omega ^(n) + omega ^(2n) =

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  5. If alpha , beta are the roots of x^(2) - 2 x + 4 = 0 " then " (alph...

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  6. If g(x) and h(x) are two polynomials such that the polynomials P(x)=g(...

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  7. If alpha , beta are complex cube roots of unity and x = a + b, y = ...

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  8. If a+b+c=0 and omega,omega^2 are imaginary cube roots of unity, then (...

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  9. If omega is a cube root of unity but not equal to 1, then minimum valu...

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  10. If x=a+b,y=aomega+bomega^2 nd z=omega^2+bomega, prove that x^3+y^3+z^3...

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  11. If x=a+b,y=aomega+bomega^2 nd z=omega^2+bomega, prove that x^3+y^3+z^3...

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  12. If omega pm 1 is a cube root of unity, the value of (a + b omega + c o...

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  13. If alpha, beta, gamma are the cube roots of p, p lt 0 then for an...

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  14. If alpha , beta , gamma are cube roots of p lt 0, then for any x , y,...

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  15. The value |(1 + omega,omega^(2),-omega),(1 + omega^(2),omega,-omega^(...

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  16. If omega is imaginary cube root of unity then Delta = |(1,1 + i ...

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  17. |(6i,-3i,1),(4,3i,-1),(20,3,i)| = x + iy then (x,y) is

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  18. If alpha is a root of x^(4) - 1 = 0 with negative principal argum...

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  19. If omega be complex cube root of unity satisfying the equation (1 )/...

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  20. If 1 , omega, omega^(2), . . . omega^(n - 1) are the n, nth roots of ...

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