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If 1 , omega , omega^(2) are the cube r...

If ` 1 , omega , omega^(2)` are the cube roots of unity , then find the values of the following .
`(a + 2 b)^(2) + ( a omega^(2) + 2 b omega)^(2) + ( a omega + 2 b omega^(2))^(2)`

A

8ab

B

9 ab

C

11 ab

D

12 ab

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The correct Answer is:
D
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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
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  3. If 1 , omega , omega^(2) are the cube roots of unity , then find the ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If z=(x+iy) and if the point P in the Argarand plane represent z, then...

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