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Common roots of equations : z^(3)+2z^(...

Common roots of equations :
`z^(3)+2z^(2)+2z+1=0` and `z^(1985)+z^(100)+1=0` are :

A

`omega,omega^(2)`

B

`1,omega,omega^(2)`

C

`-1,omega,omega^(2)`

D

`-omega,-omega^(2)`

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The correct Answer is:
A
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MODERN PUBLICATION-COMPLEX NUMBERS-Multiple Choice Questions (Level-II)
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  7. The locus of the point satisfying the condition amp. ((z-1)/(z+1))=(pi...

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  8. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

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  10. The equation not representing a circle is given by

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  12. If omega is an imaginary cube root of unity, then the value of (1)/(1+...

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  13. In complex plane, the equation |z+barz|=|z-barz| represents:

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  20. If z(1),z(2),z(3) represent the vertices of an equilateral triangle su...

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