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State true or false for the following. ...

State true or false for the following.
The inequality `|z - 4| lt | z-2| ` represents the region given by `x gt 3`.

A

`Re (z) gt 0 `

B

` Re (z) lt 0 `

C

`Re (z) gt 2`

D

none of these

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The correct Answer is:
D
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ML KHANNA-COMPLEX NUMBERS -Problem Set (3) (M.C.Q) Inequalities:
  1. State true or false for the following. The inequality |z - 4| lt ...

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  2. The region of Argand diagram defined by |z – 1| + |z + 1| le 4 is

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

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  4. For any complex number z, the minimum value of |z|+|z-1|

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  5. The maximum value of |z| where z satisfies the condition |z+(2/z)|=2 i...

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  6. If | z - ( 4)/( z)| =2, then the maximum value o f |z| is equal to :

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  7. " If Z\inC satisfies |z|>=3 then the least value of |z+(1)/(z)| is

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  8. The greatest value of | z + 1| if | z + 4 | le 3 is

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  9. Find the greatest and the least value of |z1+z2| ifz1=24+7ia n d|z2|=6...

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  10. If z is a complex number, then minimum value of (i) | z| + | z - 1|...

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  11. If z(1) and z(2) are two unimodular complex numbers such that z(1)...

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  12. Let S be the set of complex number a which satisfyndof log(1/3) { log...

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  13. If log(tan30^@)[(2|z|^(2)+2|z|-3)/(|z|+1)] lt -2 then |z|=

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  14. The locus of z which satisfies the inequality log (0.3) abs(z-1) gt l...

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  15. If log (1//3) | z + 1| gt log (1//3) | z - 1| : then

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  16. Let z ( ne 2) be a complex number such that log (1//2) | z - 2| gt l...

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  17. If log(sqrt(3))((| z| ^(2) - | z| + 1)/( 2 + | z|)) lt 2 then the lo...

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  18. The focus of the complex number z in argand plane satisfying the inequ...

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  19. Among the complex numbers z satisfying the condition | z + 1 - i| l...

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  20. Let z be a complex number satisfying |z-5i|<=1 such that amp(z) is min...

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