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If a complex number |z ^2-1|=|z|^2+1 , ...

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

A

the real axis

B

an ellipse

C

a circle

D

the imaginary axis

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If |z+barb|=|z-barz| , then the locus of z is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. It zne1 and z^2/(z-1) is real , then point represent by the complex n...

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  20. A complex number z is said to be unimodular if |z|=1 , Suppose z1 and ...

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