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If one of the square roots of sqrt(3)-i ...

If one of the square roots of `sqrt(3)-i is sqrt(2) cis (-(pi)/(12))` then the other one is

A

`sqrt(2) cis (pi)/(12)`

B

`sqrt(2) cis (pi)/(6)`

C

`sqrt(2) cis (11 pi)/(12)`

D

none of these

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The correct Answer is:
C
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  2. The continued product of the fourth roots of -1+i sqrt(3) is

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  3. If one of the square roots of sqrt(3)-i is sqrt(2) cis (-(pi)/(12)) th...

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  4. If one of the cube roots of i is cis (pi)/(6) the other two roots are

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  5. sqrt(i)+sqrt((-i)) equals :

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  6. If the fourth roots of unity are z(1), z(2), z(3), z(4) then z(1)^(2)+...

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  9. ((-1+i sqrt(3))/(2))^(3 n)+((-1-i sqrt(3))/(2))^(3 n)=

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  10. If i=sqrt(-1), omega is a non real cube root of unity then ((1+i)^(2 ...

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  11. If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(...

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

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  13. If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2^(r)), then x(1)x(2)x(3)....oo...

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  14. If a=cis alpha , b= cis beta, c= cis gamma and (a)/(b)+(b)/(c)+(c)/(a...

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