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If x(r)=cos. (pi)/(2^(r))+ isin. (pi)/(2...

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

A

`(1)/(2)`

B

-1

C

0

D

1

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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  2. If z(1)=sqrt(3)-i, z(2)=1+i sqrt(3), then amp(z(1)+z(2))=

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

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  4. The product of the values of (cos ((pi)/(3))+i sin( (pi)/(3)))^(3 / 4)...

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  5. The inequality |z-4|lt|z-2| represents the region given by

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  6. If z=x+i y is a variable complex number such that arg ((z-1)/(z+1))=(p...

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  7. If |z+4| le 3, then the maximum value of |z+1| is

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  8. The conjugate of a complex number is (1)/(i-1). Then the complex numbe...

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  9. If |z-(4)/(z)|=2 then the maximum value of |z| is

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  10. If alpha and beta are the root of the equation x^(2)-x+1=0 then alpha...

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  11. The number of complex numbers z such that |z-1|=|z+1|=|z-i| equals

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  14. Points z in the complex plane satisfying Re(z+1)^(2)=|z|^(2)+1 lies on

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  15. Let omega be the complex number cos (2 pi)/(3)+i sin (2 pi)/(3) . Then...

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  19. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

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  20. If |z|ltsqrt(2)-1, then |z^(2)+2 z cos alpha| is less than

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