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If omega is complex cube root of that 1/...

If `omega` is complex cube root of that `1/(a+omega)+1/(b+omega)+1/(c+omega)=2omega^2` and `1/(a+omega^2)+1/(b+omega^2)+1/(c+omega^2)=2omega` then the value of `1/(a+1)+1/(b+1)+1/(c+1)=`

A

2

B

-2

C

`-1 + omega^(2)`

D

None of these

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A
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -EXERCISE LEVEL 1
  1. The equation z^3=bar z has

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  2. If z = 5 + t + isqrt(25 - t^(2)), (-5 le t le 5), then locus of z is a...

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  3. If omega is complex cube root of that 1/(a+omega)+1/(b+omega)+1/(c+ome...

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  4. if |z-iRe(z)|=|z-Im(z)| where i=sqrt(-1) then z lies on

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  5. If omega is a complex cube root of unity, then value of expression cos...

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  6. If roots of the equation z^2+ az + b = 0 are purely imaginary then

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  7. The system of equations |z+1-i|=sqrt2 and |z| = 3 has

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  8. If 8iotaz^3+12z^2-18z+27iota=0 then: a. |z|=3/2 b. |z|=2/3 c. |z|=...

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  9. If a complex number z lies in the interior or on the boundary of a cir...

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  10. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

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  11. Suppose z(1), z(2), z(3) represent the vertices A, B and C respectivel...

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  12. Suppose that three points z(1), z(2), z(3) are connected by the relati...

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  13. If the number (z-1)/(z+1) is purely imaginary, then

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  14. If z s a complex number such that -pi/2 leq arg z leq pi/2, then which...

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  15. If |omega|=1, then the set of points z=omega+1/omega is contained in o...

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  16. The number of complex numbers z such that |z|=1a n d|z// z + z //z=1...

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  17. If |z1|=|z2|=|z3|=1 are twu complex numbers such that |z1|=|z2|=sqrt2...

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  18. Let z(1), z(2), z(3) be three non-zero complex numbers such that z(1) ...

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  19. If |z1|=|z2|=|z3|=1 then value of |z1-z3|^2+|z3-z1|^2+|z1-z2|^2 cannot...

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  20. Let z1z2,z3, be three complex number such that z1+z2+z3=0 and |...

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