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The locus of the point representing the ...

The locus of the point representing the complex number z for which `|z+3|^2-|z-3|^2=15` is

A

a circle

B

a parabola

C

a straight line

D

an ellipse

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If z=x +iy is a complex number satisfying |z+i//2|^2=|z-i//2|^2 then ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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