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If the cube roots of unity are 1,omega,o...

If the cube roots of unity are `1,omega,omega^2,` then the roots of the equation `(x-1)^3+8=0` are `-1,1+2omega,1+2omega^2` b. `-1,1-2omega,1-2omega^2` c. `-1,-1,-1` d. none of these

A

`-1, 1, + 2 omega , 1 + 2 omega^(2)`

B

` - 1 , 1 - 2 omega , 1 - 2 omega^(2)`

C

` - 1, - 1, - 1 `

D

none of these

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The correct Answer is:
B
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
  1. If z^(2) + z + 1 = 0 where z is a complex number then the value of ...

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  2. The common roots of the equation z^3+2z^2+2z+1=0&z^(1985)+z^(100)+1...

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  3. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

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  4. (( - 1 + sqrt""(-3))/(2))^(100) + ((- 1 - sqrt""(-3))/( 2))^(100) equ...

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  5. ( i + sqrt(3) )^(100) + (i - sqrt(3))^(100) + 2 ^(100) =

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  6. What is the value of : ((-1+isqrt(3))/(2))^(3n) + (( -1-isqrt(3))/(2...

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  7. If i=sqrt(-1), then 4+5(-1/2+(isqrt(3))/(2))^(334)+3(1/2+(isqrt(3))/...

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

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

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

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

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

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

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

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  15. 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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  16. 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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  17. If omega pm 1 is a cube root of unity, the value of (a + b omega + c o...

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

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

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

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