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The simplified form of i^(n)+i^(n+1)+i^(...

The simplified form of `i^(n)+i^(n+1)+i^(n+2)+i^(n+3)` is

A

1

B

i

C

`i^(n)`

D

0

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The correct Answer is:
D
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
  1. |(1)/((2+i)^(2))-(1)/((2-i)^(2))|

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  2. ((1-i)/(1+i))^(2)=

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  3. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

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  4. If ((1+i)/(1-i))^(m)=1, then the least positive integral value of m is

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  5. If omega is a cube roots of unity then (1-omega)(1-omega^(2))(1-omega^...

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  6. If (1+i) (1+2i) (1+3i) ….. (1+ni ) = x+iy then 2.5.10 …. (1+n^(2))=

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  7. If z=1+i then the multiplicative inverse of z^(2) is

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  8. If x+i y=sqrt((a+i b)/(c+i d)) then (x^(2)+y^(2))^(2)=

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  9. If a=cos theta+i sin theta then (1+a)/(1-a)=

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  10. The modulus and amplitude of (1 + i)/(1-i) are

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  11. If we express ((cos 2 theta-i sin 2 theta)^(4)(cos 4 theta+i sin 4 ...

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  12. In the argand diagram the points representing the complex numbers 7 + ...

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  13. 1, omega, omega^(2) are cube roots of unit x, then their product is

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  14. The conjugate of ((2 + i)^(2))/(3+i) in the form of a + ib is

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  15. If z(2-i)=3+I,z^(20)=

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  16. Let z(1) and z(2) be n^(th ) roots of unity which subtend a right angl...

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  17. If omega=-(1)/(2)+i (sqrt(3))/(2), the value of [[1, omega, omega^(2)...

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

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  19. If sqrtx+(1)/(sqrt(x))=2costheta then x^(6)+x^(-6)=

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  20. Which of the following is a fourth root of

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