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If alpha and beta are non real cube root...

If `alpha` and `beta` are non real cube roots of unity then `alpha beta+alpha^(5)+beta^(5)=`

A

1

B

0

C

-1

D

3

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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  4. The value of ((-1+i sqrt(3))/(2))^(26)+((-1-i sqrt(3))/(2))^(26) is

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  5. ((-1+i sqrt(3))/(2))^(3 n)+((-1-i sqrt(3))/(2))^(3 n)=

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

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  7. If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(...

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  8. The value of (i)^(i) is

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

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  10. If a=cis alpha , b= cis beta, c= cis gamma and (a)/(b)+(b)/(c)+(c)/(a...

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

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  13. tan [i log ((a-i b)/(a+i b))]=

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  14. If x^(2)+x+1=0 then sum(r=1)^(25)(x^(r)+(1)/(x^(r)))^(2)=

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  20. If (z-1)/(z+1) is purely imaginary, then |z|=

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