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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) 4 (2) 3 (3) 2 (4) 1

A

-1

B

1

C

2

D

-2

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B
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ARIHANT MATHS ENGLISH-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

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  2. about to only mathematics

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

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  4. The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

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  5. If z is any complex number satisfying abs(z-3-2i) le 2, where i=sqrt(-...

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  6. The set {R e((2i z)/(1-z^2)): zi sacom p l e xnu m b e r ,|z|=1,z=+-1}...

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  7. The maximum value of |a r g(1/(1-z))|for|z|=1,z!=1 is given by.

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  8. about to only mathematics

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  9. Let alpha and beta be real numbers and z be a complex number. If z^(2...

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  10. If omega is a cube root of unity and (1+omega)^7=A+Bomega then find th...

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  11. Let z be a complex number such that the imaginary part of z is nonz...

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  12. If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the...

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  13. If z is complex number of unit modulus and argument theta then arg ...

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  14. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

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  15. Let w = (sqrt 3/2 + iota/2) and P = { w^n : n = 1,2,3, ..... }, Furthe...

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  16. Express in the form of complex number if z=i^(-39)

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  17. Express in the form of complex number (1-i)^4

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  18. If z is a complex number such that |z|geq2 , then the minimum value...

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  19. A complex number z is said to be unimodular if abs(z)=1. Suppose z(1) ...

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  20. Let omega ne 1 be a complex cube root of unity. If (3-3omega+2omega^(2...

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