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If `alpha` and `beta` are the roots of the equation `x^2-x+1=0` , then `alpha^(2009)+beta^(2009)=` `-1` (b) 1 (c) 2 (d) `-2`

A

`-1`

B

1

C

2

D

`-2`

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B
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
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  2. If alpha is a complex number such that alpha^(2) + alpha + 1 =0, then ...

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  3. If alpha and beta are the roots of the equation x^2-x+1=0 , then alpha...

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  4. The expression x^(3p) + x^(3q - 1) + x^(3r - 2) , where p, q, r in N...

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  5. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

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  6. The value of sum (n = 1) ^(5) ( x ^(n) + (1)/( x^(n)))^(2) " where "...

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  7. If t^(2) + t + 1 = 0 then, the value of ( t + (1)/( t))^(2) + ( t^(...

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  8. If z^(2) + z + 1 = 0 where z is a complex number then the value of ...

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

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

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  11. (( - 1 + sqrt""(-3))/(2))^(100) + ((- 1 - sqrt""(-3))/( 2))^(100) equ...

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

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

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

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

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

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

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

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

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

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