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

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

A

0

B

1

C

2

D

3

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The correct Answer is:
C
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If alpha and beta are non real cube roots of unity then alpha beta+alp...

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  2. The value of ((-1+i sqrt(3))/(2))^(26)+((-1-i sqrt(3))/(2))^(26) is

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

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

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

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

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

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

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  9. If alpha is an imaginary root of the equation z^(n)-1=0 then 1+alpha+...

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

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  11. tan [i log ((a-i b)/(a+i b))]=

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  12. If x^(2)+x+1=0 then sum(r=1)^(25)(x^(r)+(1)/(x^(r)))^(2)=

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  13. The area of the triangle whose vertices are i, omega omega^(2)

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  14. The centre of the square A B C D is at the origin. The vertex A is z. ...

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  15. The value of sum(k=1)^(6)[" sin"(2Kpi)/(7)- i " cos"(2Kpi)/(7)] is

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  16. The locus of the point satisfying the condition amp. ((z-1)/(z+1))=(pi...

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  17. If z=(sqrt(3))/(2)-(1)/(2) i, then (i^(93)+z^(93))^(99)=

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  18. If (z-1)/(z+1) is purely imaginary, then |z|=

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  19. For any integer n, the argument of ((sqrt(3)+i)^(4 n+1))/((1-i sqrt(3)...

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

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