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" If Z\inC satisfies |z|>=3 then the lea...

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

A

`(10)/(3)`

B

`(8)/(3)`

C

`(4)/(3)`

D

2

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The correct Answer is:
B
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ML KHANNA-COMPLEX NUMBERS -Problem Set (3) (M.C.Q) Inequalities:
  1. The maximum value of |z| where z satisfies the condition |z+(2/z)|=2 i...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. For all complex numbers z1,z2 satisfying |z1|=12 and |z2-3-4i|=5, fin...

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  18. If a,b,c are distinct integers and omega(ne 1) is a cube root of unity...

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  19. If z is a complex number having least absolute value and |z-2+2i|=|, ...

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  20. If | z - 25 i| le 15 then | max: amp(z) - min amp (z) | =

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