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If alpha is a non-real fourth roots of u...

If `alpha` is a non-real fourth roots of unity, then the values of `alpha^(4 n-1)+alpha^(4 n-2)+alpha^(4 n-3), n in N` is

A

0

B

-1

C

3

D

4

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 alpha is a non-real fifth root of unity, then 3^(|1+alpha+a^(2)+a^(...

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  3. If alpha is a non-real fourth roots of unity, then the values of alpha...

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

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  5. If arg (z)lttheta, then arg (-z)-arg (z)=

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  6. If (sqrt(3)-i)^(n)=2^(n), n in Z, then n is a multiple of

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  7. The least positive integer n for which (sqrt(3)+i)^(n)=(sqrt(3)-i)^(n)...

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  8. If w is a complex cube roots of unity, then arg (i w)+arg (i w^(2))=

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  9. If z(2-2 sqrt(3) i)^(2)=i(sqrt(3)+i)^(4) then arg z=

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  10. If ((3)/(2)+(i sqrt(3))/(2))^(28)=3^(14)(x+i y) then (x, y)= (where x ...

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  11. If 1, alpha(1), alpha(2), …., alpha(n-1) are the n^(text (th ) roots o...

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  12. The argument of (1-i sqrt(3))/(1+i sqrt(3))=

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  13. Let z(1) and z(2) be two complex numbers such that |z(1)+z(2)|^(2)=|z(...

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  14. If z is purely imaginary then and Im(z)gt0, then amp(z)=

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  15. If n is an odd integer, then (1+i)^(6 n)+(1-i)^(6 n) is equal to

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

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  17. Number of solutions of the equation z^(2)+|z|^(2)=0 is

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  18. The equation |z+1-i|=|z-1+i| represents a

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  19. The area of the triangle on the complex plane formed by the complex nu...

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  20. If the complex number z=x+ iy satisfies the condition |z+1|=1, then z ...

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