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If omega=z/(z-1/3i) and |omega|=1 then...

If `omega=z/(z-1/3i) and |omega|=1 ` then z lies on

A

an ellipse

B

a circle

C

a straight line

D

a parabola

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. In the Argand Diagrams , all the complex number z satisfying |z-4i|+|z...

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  2. The locus of z satisfying |z|+|z-1|= 3 is

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  3. If omega=z/(z-1/3i) and |omega|=1 then z lies on

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  4. The locus of the point z in the argrand plane for which |z+1|^2+|z-1|^...

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  5. The locus of z such that |z-1|^2+|z+1|^2=4 is a

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  6. If |z+i|^2-|z-i|^2=3 then the locus of z is

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  7. If z=x +iy is a complex number satisfying |z+i//2|^2=|z-i//2|^2 then ...

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  8. The points representing the complex numbers z for which |z+4|^2-|z-4|^...

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  9. The locus of the point representing the complex number z for which |z+...

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  10. If a complex number |z ^2-1|=|z|^2+1 , then z lies on :

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  11. If |z+barb|=|z-barz| , then the locus of z is

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  12. If |z+barz|+|z-barz|=2 , then z lies on

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  13. If a complex number |z ^2-1|=|z|^2+1 , then z lies on :

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  14. If amp (z-i) =pi//3 then the locus of z is

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  15. If amp (z-3) =pi//2 then the locus of z is

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  16. If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x ...

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  17. If Arg (3z-2i) = pi//2 then the locus of z = x +iy is

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  18. If Arg ((z+1)/(z-1))=pi/6 then the locus of z = x + iy is

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  19. The locus of the complex number z such that arg ((z-2)/(z+2))=pi/3 is ...

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  20. If Amp ((z+2)/(z-4i))=pi/2 then the locus of z = x + iy is .

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