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If omega is a complex cube root of unity...

If `omega` is a complex cube root of unity, then `225+(3omega+8omega^(2))^(2)+(3omega^(2)+8omega)^(2)`

A

72

B

192

C

200

D

248

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DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1
  1. (1-omega+omega^(2))^(7)+(1+omega-omega^(2))^(7)

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  2. (1-omega+omega^(2))^(6)+(1-omega^(2)+omega)^(6)

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  3. If omega is a complex cube root of unity, then 225+(3omega+8omega^(2))...

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  4. If omega is a complex cube root of unity, then (x+1)(x+omega)(x-omega-...

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  5. (a-b)(aomega-bomega^(2))(aomega^(2)-bomega)

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  6. (a+2b)^(2)+(aomega+2bomega^(2))^(2)+(aomega^(2)+2bomega)^(2)

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  7. If 1 , omega , omega^(2) are the cube roots of unity , then (a+ b)^(3...

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

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

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  10. (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-om...

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

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  12. (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …….....

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

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

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  15. (1)/(1+2omega)-(1)/(1+omega)+(1)/(2+omega)

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

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

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

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

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

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