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The focus of the complex number z in arg...

The focus of the complex number z in argand plane satisfying the inequality `log_(1/2) ((|z-1|+4)/(3|z-1|-2)) > 1 (where |z-1| != 2/3)` is

A

a circle

B

interior of a circle

C

exterior of a circle

D

none

Text Solution

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The correct Answer is:
C
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ML KHANNA-COMPLEX NUMBERS -Problem Set (3) (M.C.Q) Inequalities:
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  3. If z is a complex number, then minimum value of (i) | z| + | z - 1|...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The least value of p for which the two curves argz=pi/6 and |z-2sqrt(...

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  19. If at least one value of the complex number z = x + i y satisfies the ...

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  20. PQ and PR are two infinite rays, QAR is an arc. Point lying in the ...

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