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If log tan30^@((2|z|^2+2|z|-3)/(|z|+1))l...

If log `tan_30^@((2|z|^2+2|z|-3)/(|z|+1))lt-2` , then

A

`|z|lt3//2`

B

`|z|gt3//2`

C

`|z|gt2`

D

`|z|lt2`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. The locus of z satisfying the inequality |(z+2i)/(2z+i)|lt1 where z = ...

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  2. The locus of z satisfying the inequality log(1//3)|z+1|gtlog(1//3)|z-...

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  3. If log tan30^@((2|z|^2+2|z|-3)/(|z|+1))lt-2 , then

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  4. |z-4|lt|z-2| represents the region given by

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  5. If |z-4/z|=2 , then the maximum value |z| is equal to

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  6. If z is a complex number such that |z|ge2 ,then the minimum value of |...

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

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  8. The number of solutions for z^3+barz=0 is

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  9. The triangle formed by the points 1, (1+i)/(sqrt(2)) and i as vertice ...

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  10. If z1=1+2i,z2=2+3i,z3=3+4i, " then " z1,z2and z3 represents the vertic...

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  11. In the Argrand plane, the points represented by the complex numbers 1+...

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  12. In the Argrand plane, the points represented by the complex numbers 2-...

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  13. Are of the triangle formed by the three complex numbers, 1+i,1-i,2i in...

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  14. Area of the triangle formed by the Argrand diagram formed by the compl...

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  15. If |z|=3 , then area of the triangle whose sides are z , omegaz and z ...

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  16. If the area of the triangle on the complex plane formed the points z ,...

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  17. If a and b are real number between 0 and 1 such that the points z1=a+I...

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  18. Let z(1) , z(2) be two roots of the equation z^(2) + az + b = 0 , z be...

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  19. If z1,z2,z3 are the vertices of a triangle then its centroid is

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  20. Let the complex number z1,z2,z3 be the vertices of an equilateral tria...

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