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The complex number 2^(n)/(1 + i)^(2n) +...

The complex number `2^(n)/(1 + i)^(2n) + (1+i)^(2n)/2^(n), n in I` is equal to :

A

0

B

2

C

`[1+(-1)^(n)]i^(n)`

D

1

Text Solution

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The correct Answer is:
d
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. If x^2-2xcos theta+1=0, then the value of x^(2n)-2x^n cosntheta+1, n ...

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  2. If p^(2)-p+1=0, then the value of p^(3n) can be

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  3. The complex number 2^(n)/(1 + i)^(2n) + (1+i)^(2n)/2^(n), n in I is e...

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  4. If arg (z(1)z(2))=0 and |z(1)|=|z(2)|=1, then

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

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  6. If z is a complex number satisfying z+z^(-1) =1 " then " z^(n) + z...

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  7. x^(3m) + x^(3n-1) + x^(3r-2), where, m,n,r in N is divisible by

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  8. If z is nanreal root of ""^(7)sqrt(-1), then find the value of z ^(86...

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  9. The locus of point z satisfying Re(z^(2))=0, is

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  10. The curve represented by "Im"(z^(2))=k, where k is a non-zero real num...

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  11. If log(tan30^@)[(2|z|^(2)+2|z|-3)/(|z|+1)] lt -2 then |z|=

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  12. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

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  13. The roots of the cubic equation (z+ ab)^(3) = a^(3), such that a ne 0...

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  14. If omega is a complex cube root of unity, then the equation |z- omega|...

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  15. If omega is a complex cube root of unity, then the equationi |z-omega|...

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  16. The equation zbarz+(4-3i)z+(4+3i)barz+5=0 represents a circle of radiu...

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  17. z is such that a r g ((z-3sqrt(3))/(z+3sqrt(3)))=pi/3 then locus z is

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  18. about to only mathematics

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  19. If |z-4+3i| leq 1 and m and n be the least and greatest values of |z...

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  20. If 1,alpha,alpha^(2),………..,alpha^(n-1) are the n, n^(th) roots of unit...

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