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If alphaandbeta are the roots of x^(2)-2...

If `alphaandbeta` are the roots of `x^(2)-2x+4=0" then "alpha^(n)+beta^(n)`

A

`2^(n)cos(npi//2)`

B

`2^(n+1)cos(npi//3)`

C

`2^(n-1)sin(npi//3)`

D

none

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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. If x+1/x=2cos alpha,y+1/y=2cos beta, then xy+(1)/(xy)=

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  2. If alphaandbeta are the roots of the equation x^(2)-x+1=0" then "alpha...

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  3. If alphaandbeta are the roots of x^(2)-2x+4=0" then "alpha^(n)+beta^(n...

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

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  5. If alpha,beta are roots of the equation x^(2)-4x+8=0 then for any ninN...

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  6. If alphaandbeta are the roots of x^(2)-2x+4=0, then the value of alpha...

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  7. If x satisfies the equation x^(2)-2xcostheta+1=0, then the value of x^...

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  8. If a=cos4pi//3+isin4pi//3" then "(1+a)^(3n)

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  9. If cosalpha+cosbeta=0=sinalpha+sinbeta" then "cos2alpha+cos2beta

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  10. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "cos3al...

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  11. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "sin3al...

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  12. If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...

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  13. If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...

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  14. If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...

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  15. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(2alp...

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  16. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alp...

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  17. If cosalpha+coabeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(alph...

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  18. If a=cisalpha,b=cisbeta,c=cisgamma, and a/b+b/c+c/a-1=0 then cos(alph...

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  19. Let A and B denote the statements A:cosalpha+cosbeta+cosgamma=0" ...

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  20. The value of (i)^(i) is

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