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If a, b are real and x=a+b,y=aomega^(2)+...

If a, b are real and `x=a+b,y=aomega^(2)+bomega,z=aomega+bomega^(2)" then "x^(2)+y^(2)+z^(2)`

A

6ab

B

12ab

C

`8a^(2)b^(2)`

D

`4a^(2)b^(2)`

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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. If 1 , omega , omega^(2) are the cube roots of unity , then (a+ b)^(3...

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  2. If x=a+b,y=aomega+bomega^(2),z=aomega^(2)+bomega then xyz

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  3. If a, b are real and x=a+b,y=aomega^(2)+bomega,z=aomega+bomega^(2)" th...

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  4. (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-om...

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  5. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  6. (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …….....

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  7. If omega is a complex cube root of unity then omega^((1/3+2/9+4/27+......

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  8. (a+bomega+comega^(2))/(c+aomega+bomega^(2))

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  9. (1)/(1+2omega)-(1)/(1+omega)+(1)/(2+omega)

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  10. If omega is a complex cube root of unity, then sin[(omega^(10)+omega^(...

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  11. If 1,omega,omega^(2) are the cube roots of unity and alpha=omega+2omeg...

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  12. If alpha, beta are the roots of 1 + x + x^(2)= 0, then the value of al...

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

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  14. If the cube roots of unity are 1,omega,omega^(2) then the roots of the...

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  15. If alpha, beta are the non-real cube roots of 2, then alpha^(6)+beta^...

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  16. If alpha is a non-real root of x^(6)-1=0 then (alpha^(5)+alpha^(3)+alp...

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  17. If alpha is a non real root of the equation x^(6)-1=0 then (alpha^(2)+...

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  18. If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity then (1...

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  19. If 1,alpha1,alpha2,…..alpha(n-1) are the n^(th) roots of unity and n i...

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  20. 1,alpha1,alpha2,alpha3…..alpha(n-1) are the n^(th) roots of unity and ...

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