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If omega is a cube root of unity, then f...

If `omega` is a cube root of unity, then find the value of the following: `(1+omega-omega^2)(1-omega+omega^2)`

A

1

B

0

C

2

D

4

Text Solution

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The correct Answer is:
D
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
  1. If omega is an imaginary cube root of unity, then (1-omega-omega^(2))^...

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  2. If omega^(3) = 1 and omega ne 1 then (1+omega)(1+omega^2)(1+omega^4)...

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  3. If omega is a cube root of unity, then find the value of the following...

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  4. If 1, omega, omega^2 be the cube roots of unity, then the value of (1 ...

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

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  6. If omega complex cube root of unity, then ((1 + omega )/(omega ^(2)...

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  7. If omega is complex cube root of unity, then the value of (1 + 2...

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  8. If omega(ne 1) be a cube root of unity and (1+omega^(2))^(n)=(1+omega^...

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  9. If omega imaginary cube root of unity , then sin {(omega ^(13) ...

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  10. If sin ^(-1) {(1)/( 2i) ( z - 3)} be the angle of a triangle and if ...

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  11. sin "" (pi)/( 900) { sum(r = 1)^(10) ( r - omega ) ( r - omega ^(2))} ...

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  12. The cube roots of unity lie on a circle

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  13. The cube roots of unity

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  14. The equation | z - omega |^(2) pm | z - omega ^(2)|^(2) = lambda repr...

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  15. If alpha and beta are the complex cube roots of unity, then alpha^...

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  16. If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omeg...

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  17. If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

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  18. If alpha is a complex number such that alpha^(2) + alpha + 1 =0, then ...

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

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

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