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If z^(n) = cos"" (n pi)/(3) + isin"" (n ...

If `z^(n) = cos"" (n pi)/(3) + isin"" (n pi)/(3),`then`z_(1), z_(2) …. Z_(6)` is

A

`1`

B

`-1`

C

`i`

D

`-i`

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The correct Answer is:
B
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PREMIERS PUBLISHERS-COMPLEX NUMBERS-Problem for practice
  1. Which of the following is incorrect ?

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  2. Which of the following is correct statement ?

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  3. If z^(n) = cos"" (n pi)/(3) + isin"" (n pi)/(3),thenz(1), z(2) …. Z(6)...

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  4. Which of the following is incorrect regarding n^(th) roots of unity ?

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  5. Find the correct staements in the following? If P represents the compl...

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  6. If a=3+i and z=2-3i then the points az, 3az and -az are:

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  7. If |z-z(1)|=|z-z(2)| then the locus of z is :

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  8. Find the odd one out .

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  9. (1 + e^(-i theta))/(1 + e^(i theta))=

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  10. Match the following Column I to Column II

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  11. choose the correct pair of statement : (i) (costheta+isintheta)^(n)=...

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  12. Find the incorrect pair of statements: (i) Re(z) ge |z| (ii) |z^(n...

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  13. Find the odd one out .

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  14. If omega is the cube root of unity then Assertion : (1-omega+omega^(...

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  15. Simplify [(i^(4)+i^(9)+i^(16))/(3-2i^(5)-i^(10)-i^(15))]^(10)

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  16. Find x and y if sqrt(x^(2)+3x+8)+(h+4)i=y(2+i)

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  17. P represents the variable complex number z find the locus of z if : ...

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  18. Represents the variable complex number z. Find the locus of P if arg((...

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  19. P represents the variable complex number z find the locus of z if : ...

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  20. Simplify : ((cos3theta+isin3theta)^(2)(cos3theta-isin3theta)^(-3))/((c...

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