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If omega(ne1) is a cube root of unity, t...

If `omega(ne1)` is a cube root of unity, then `(1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))`…upto `2n` is factors, is

A

`2 ^(n)`

B

`2 ^(2n)`

C

0

D

1

Text Solution

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The correct Answer is:
B
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
  1. The equation | z - omega |^(2) pm | z - omega ^(2)|^(2) = lambda repr...

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  2. If alpha and beta are the complex cube roots of unity, then alpha^...

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  3. If omega(ne1) is a cube root of unity, then (1-omega+omega^(2))(1-omeg...

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  4. If omega(ne 1) be a cube root of unity and (1+omega)^(7)=A+Bomega, the...

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  5. If alpha is a complex number such that alpha^(2) + alpha + 1 =0, then ...

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  6. If alpha and beta are the roots of the equation x^2-x+1=0 , then alpha...

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  7. The expression x^(3p) + x^(3q - 1) + x^(3r - 2) , where p, q, r in N...

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  8. If f(x)=g(x^(3))+xh(x^(3)) is divisiblel by x^(2)+x+1, then

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  9. The value of sum (n = 1) ^(5) ( x ^(n) + (1)/( x^(n)))^(2) " where "...

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  10. If t^(2) + t + 1 = 0 then, the value of ( t + (1)/( t))^(2) + ( t^(...

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  11. If z^(2) + z + 1 = 0 where z is a complex number then the value of ...

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  12. The common roots of the equation z^3+2z^2+2z+1=0&z^(1985)+z^(100)+1...

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  13. If the cube roots of unity are 1,omega,omega^2, then the roots of the ...

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  14. (( - 1 + sqrt""(-3))/(2))^(100) + ((- 1 - sqrt""(-3))/( 2))^(100) equ...

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  15. ( i + sqrt(3) )^(100) + (i - sqrt(3))^(100) + 2 ^(100) =

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  16. What is the value of : ((-1+isqrt(3))/(2))^(3n) + (( -1-isqrt(3))/(2...

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  17. If i=sqrt(-1), then 4+5(-1/2+(isqrt(3))/(2))^(334)+3(1/2+(isqrt(3))/...

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  18. If 1;w;w^2 are cube root of unity and n is a positive integer;then 1+w...

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  19. If n is a multiple of 3, then 1 + omega ^(n) + omega ^(2n) =

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  20. If alpha , beta are the roots of x^(2) - 2 x + 4 = 0 " then " (alph...

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