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If x(n)=cos((pi)/(4^(n)))+i sin ((pi)/(4...

If `x_(n)=cos((pi)/(4^(n)))+i sin ((pi)/(4^(n)))`, then `x_(1), x_(2), x_(3)....oo` is equal to

A

`(1+isqrt(3))/(2)`

B

`(-1+i sqrt(3))/(2)`

C

`(1-i sqrt(3))/(2)`

D

`(-1-i sqrt(3))/(2)`

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SIA PUBLICATION-COMPLEX NUMBERS AND DE MOIVRE'S THEOREM-Problems
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  2. z=1+isqrt(3)rArr|Arg z|+|Argbarz|=

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

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  4. The locus of z satisfying the |(x+2i)/(2z+i)| lt 1, inequality where z...

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  5. The points in the set {zinC: Arg " ((z-2)/(Z-6i))=pi/2} lie on the cu...

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

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  7. If m(1), m(2), m(3) and m(4) respectively denote the moduli of the co...

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  8. The locus of the point z=x+iy satisfying |(z-2i)/(z+2i)|=1 is

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  9. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

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  10. If alpha1,alpha2,alpha3 respectively denote the moduli of the complex ...

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  11. sum(n=0)^oo((2i)/3)^n=

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  12. If X(n)="cos"(pi)/(2^(n))+"isin"(pi)/(2^(n)), then x(1), x(2), x(3)......

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  13. If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x ...

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

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  15. If z=x +iy is a complex number satisfying |z+i//2|^2=|z-i//2|^2 then ...

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  16. If 1-i is a root of the equation x^(2)+ax+b=0, then b is equal to

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  17. If x(n)=cos((pi)/(4^(n)))+i sin ((pi)/(4^(n))), then x(1), x(2), x(3)....

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  18. If (3+2isintheta)/(1-2isintheta) is a real number and 0 < theta < 2pi...

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  19. If z=3+5i then z^(3)+barz+198 is equal to

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  20. If |(1-i,i),(1+2i,-i)|=x+iy, then x is equal to

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