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If Arg ((z+1)/(z-1))=pi/6 then the locu...

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

A

`x^2+y^2+3x-2=0,y=0`

B

x = 0 such that `ygt2//3`

C

`x^2+y^2+2sqrt(3)y-1=0 " such that " lt0,x^2+y^2gt1`

D

`x^2+y^2+2x-4y =0 " such that " 2x-y +4gt 0 `

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If the amplitude of z - 2 - 3i " is " pi//4 , then the locus of z = x ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If z=(lamda+3)+isqrt(5-lamda^2) then the locus of z is a circle with ...

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  17. If alpha+ibeta=Tan^(-1)(z),z=x+iy and alpha is constant then the locus...

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  18. If |z-1| gt2|z-2| then the locus of z = x + iy is

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  19. The region represented by |z+a|+|z-a| lt4a is

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  20. The region of the argand plane defined by |z-i| +|z+i|le4 is

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