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

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

A

a pair of straight lines

B

a rectangular hyperbola

C

a line

D

a set of four lines

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. The locus of the point representing the complex number z for which |z+...

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

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

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

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

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

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

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

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

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

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

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

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  13. The points in the set {zinC: Arg " ((z-2)/(Z-6i))=pi/2} lie on the cu...

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  14. If Re ((z+3)/(z-2i))=0 then the locus of z = x +iy is

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  15. If Im ((z-1)/(z+1))=0 then the locus of z = x + iy is

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  16. If Re (z^2)=2 then the locus of z is

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  17. If z(barz+3)=2 then the locus of z = x + iy is

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  18. If zbarz=4 then the locus of z is

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  19. If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is

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  20. If (z+2)/(z+6i) is purely real then the locus of z = x +iy is

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