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

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

A

`2^(5)`

B

`2^(7)`

C

`2^(9)`

D

`2^(10)`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. (3 + 5 omega + 3omega^(2))^(6) =

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  2. (1+omega)(1+omega^(2))(1+omega^(5))..........2n factors =

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  3. (1- omega + omega^(2))^(7) + (1 + omega - omega^(2))^(7) =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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