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

If ` 1, omega , omega^(2)` are the cube roots of unity, then prove that `1/(2 + omega) - 1/(1 + 2 omega) = 1/( 1 + omega)` .

A

`omega`

B

`omega^(2)`

C

`a^(2) + b^(2)`

D

0

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The correct Answer is:
D
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE - I
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  2. (1 + omega) (1 + omega^(2)) (1 + omega^(3)) (1 + omega^(4)) (1 + omega...

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

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

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  5. If (1 + omega)^(7) = A + B omega then (A , B) =

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  6. If |3z-2|=5 then the locus of z is

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  7. If |z -2 - 3i| = 5 then the locus of z = x +iy is

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  8. The equation |z-1|^(2) + |z+1|^(2) = 2 represents

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  9. If Re (z^2)=2 then the locus of z is

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  10. If amp (z-i) =pi//3 then the locus of z is

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  11. The locus of Z satisfying |z| + |z - 1| = 3 is

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  12. If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x ...

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  13. The complex number (1 + 2i)/(1 - i) lies in the

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  14. If three complex number are in A.P then they lie on

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  15. In the Argand plane, the points represented by the complex numbers 2-6...

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  16. The condition for the points z(1) , z(2) , z(3) , z(4) taken in order ...

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  17. The equation of the line joining the points represented by 2- 3i and -...

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  18. The number of complex number z such |z-1|=|z+1|=|z-i| equals

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  19. Statement - I : If z(1) and z(2) are two nonzero complex numbers such ...

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  20. Statement - I : If a and b are positive real numbers then sqrt(-a) xx ...

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