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If alpha = x + y + z + omega and beta = ...

If `alpha = x + y + z + omega and beta = (xy + yz + zomega + omega x + omega y + xz)`, then which of the following statement(s), is/are true

A

`8 alpha^2 ge 3 beta`

B

`3 alpha^2 ge 8 beta`

C

`alpha^2 beta ge 27`

D

None of these

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The correct Answer is:
B
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FIITJEE-COMPLEX NUMBER-ASSIGNMENT PROBLEMS (OBJECTIVE) Level - I
  1. If z1 and z2 are two complex numbers, then the equation of the perpend...

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  2. If z= x+iy satisfies the equation arg (z-2)="arg" (2z+3i), then 3x-4y ...

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  3. If alpha = x + y + z + omega and beta = (xy + yz + zomega + omega x + ...

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  4. If P and Q are represented by the complex numbers z1 and z2 such that...

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  5. The complex number sin(x)+icos(2x) and cos(x)-isin(2x) are conjugate t...

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  6. For any complex number z, maximum value of |z|-|z-1| is

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  7. If infty(a(1)+ib(1))(a(2)+ib(2))………………(a(n)+ib(n))=A+iB, then sum(i=1)...

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  8. The value of the expression 2(1+(1)/(omega))(1+(1)/(omega^(2)))+3(2+(1...

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  9. If z= x+iy , z^(1//3) = a- ib and (x)/(a) - (y)/(b) = lambda (a^(y) -...

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  10. If z= (1)/(2) (sqrt3 -i), then the least positive integral value of ...

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  11. The value of the expression 2(1+(1)/(omega))(1+(1)/(omega^(2)))+3(2+(1...

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  12. If w = alpha+ibeta, where beta ne 0 and z ne 1, satisfies the condit...

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  13. If |z-i| lt 1, then the value of |z + 12-6i| is less than

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  14. If a, b, c are integers not all equal and w is a cube root of unity (w...

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  15. If theta(i) in [ 0, pi//6], I = 1, 2, 3, 4, 5 and sin theta(i)z^(4) ...

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  16. If |z-2|= "min" {|z-1|,|z-3|}, where z is a complex number, then

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  17. If a complex number z satisfies log(1//sqrt2) ((|z|^2 + 2 |z|+6)/(2 |z...

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  18. The points representing complex number z for which |z+2+ 3i| = 5 lie ...

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  19. If z is a complex number lying in the first quadrant such that "Re"(z)...

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  20. The equation zbarz+abarz+baraz+b=0, b in R represents circle, if

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