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If omega is a cube root of unity but not...

If `omega` is a cube root of unity but not equal to 1, then minimum value of `abs(a+bomega+comega^(2))`, (where a,b and c are integers but not all equal ), is

A

0

B

`sqrt(3)/2`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-COMPLEX NUMBERS-Exercise (Questions Asked In Previous 13 Years Exam)
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  2. If one of the vertices of the square circumscribing the circle |z - 1|...

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  3. If z1a n dz2 are two nonzero complex numbers such that |z1+z2|=|z1|+|z...

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

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  5. If omega = z//[z-(1//3)i] and |omega| = 1, then find the locus of z.

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  6. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

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  7. Find the value of sum(k=1)^10[sin((2pik)/(11))-icos((2pik)/(11))],wher...

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  8. If z^2+z+1=0 where z is a complex number, then the value of (z+1/z)^2+...

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  9. A man walks a distance of 3 units from the origin towards the North-...

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  10. If |z|=1 and z!=1, then all the values of z/(1-z^2) lie on

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  11. If abs(z+4) le 3, the maximum value of abs(z+1) is

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  12. Let A, B, C be three sets of complex number as defined below: A={z:Img...

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  13. What is 5% Equals to

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  14. Express in the form of complex number i^9+i^(19)

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  15. A particle P starts from the point z0=1+2i , where i=sqrt(-1) . It mov...

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  16. If the conjugate of a complex numbers is 1/(i-1), where i=sqrt(-1). Th...

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  17. Let z = x + iy be a complex number where x and y are integers. Then...

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  18. Let z=costheta+isintheta. Then the value of sum(m->1-15)Img(z^(2m-1...

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  19. If |z-4/z|=2 then the greatest value of |z| is:

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  20. Let z(1) and z(2) be two distinct complex numbers and z=(1-t)z(1)+tz(2...

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