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(1-omega+omega^(2))(1-omega^(2)+omega^(4...

`(1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-omega^(8)+omega^(16))`

A

4

B

8

C

12

D

16

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Verified by Experts

The correct Answer is:
D
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(1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8)) …….. to 2n factors

(1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + omega^(8)) to 2n factors =

Arrange the following values in descending order A)(1+omega)(1+omega^2)(1+omega^4)(1+omega^8) B) (1-omega+omega^2)^7+(1+omega-omega^2)^7 C)(1-omega)(1-omega^2)(1-omega^4)(1-omega^8) D) (1-omega+omega^2)(1-omega^2+omega^4)

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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. (1+omega)(1+omega^(2))(1+omega^(5))..........2n factors =

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  2. (1- omega + omega^(2))^(7) + (1 + omega - omega^(2))^(7) =

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  3. (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-om...

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

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

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  6. If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...

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  7. The value of ((- 1 + isqrt3)/(2))^(100) + ((- 1 - isqrt3)/(2))^(100) i...

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  8. If x = a + b , y = a omega^(2) +b omega and z = a omega + b omega^(2) ...

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  9. If alpha , beta are the imaginary cube roots of unity then alpha^(4) +...

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  10. If 1 , omega , omega^(2) are the cube roots of unity , then (a+ b)^(3...

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  11. The value of ((-1 + isqrt3)/(2))^(36) + ( (-1 - isqrt3)/(2))^(36) =

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  12. The solution of the equation |z| - z =1 + 2i is

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  13. If (1 + isqrt2)^(x) = 3^(x) , then its only integral solution is

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  14. If barz = iz^(2) then the number of values of z is

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  15. The number of solutions of z + sqrt2 (| z+ 1|) + i=0

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  16. If the complex number z lies on |z| = 1 then (2)/(z) lies on

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  17. If zbarz=4 then the locus of z is

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  18. Match the items of List - I with those of List-II

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  19. If z = x +iy and P represents z in the Argand plane and mod (2z-3) = 4...

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  20. If z = (lambda + 3) + isqrt( 5 - lambda^(2)) , then the locus of z is...

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