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The smallest positive integer for which(...

The smallest positive integer for which`(1 + i)^(2n)=(1 -l)^(2n)` is

A

1

B

2

C

3

D

4

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The correct Answer is:
B
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. If omega=(-1+i sqrt(3))/(2) then (3+omega+3 omega^(2))^(4)=

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  2. If x+(1)/(x)=2cos alpha then x^(n)+(1)/(x^(n))=

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  3. The smallest positive integer for which(1 + i)^(2n)=(1 -l)^(2n) is

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  4. The real part of (1)/(1+cos theta+i sin theta) is

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  5. The modulus and amplitude of (1+2i)/(1-(1-i)^(2)) are respectively

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  6. The complex number ((-sqrt(3)+3i)(1-i))/((3+sqrt(3)i)(i)(sqrt(3)+sqrt(...

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  7. If 2x=-1+sqrt(3)i, then the value of (1-x^(2)+x)^(6)-(1-x+x^(2))^(6)=

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  8. The modulus of amplitude of (1+i sqrt(3))^(8) are respectively

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  9. The conjugate of (3-2 i)/(5+7 i) is

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  10. If x^(2)-x+1=0 then the value of sum(n=1)^(5)(x^(n)+(1)/(x^(n)))^(2) ...

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  11. The conjugate of the complex number (1 + i)^(2)/(1-i) is

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  12. The real and imaginary part of log (e)(1+sqrt(3) i) are

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  13. The amplitude of "sin"(pi)/(5)+i(1-"cos"(pi)/(5)) is

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  14. Let z and w be two non-zero complex numbers such that |z|=|w| and arg....

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  15. The locus of the centre of a circle which touches the circles |z-z(1)|...

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  16. Let z(1) and z(2) be two roots of the equation z^(2)+az+b=0, z being c...

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  17. If z and w are two non-zero complex numbers such that |zw|=1 and arg(z...

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  18. If ((1+i)/(1-i))^(x)=1, then x=

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  19. If 1, omega, omega^(2) are the cube roots of unity, then [[1, omega^...

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  20. Let z,w be complex numbers such that barz+ibarw=0 and arg zw=pi. Then ...

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