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The equation of the locus of 2 such that...

The equation of the locus of 2 such that `|(z-i)/(z+i)|=2`, where z = x + iy is a complex number , is

A

`3x^2+3y^2+10y-3=0`

B

`3x^2+3y^2+10y+3=0`

C

`3x^2+3y^2-10y-3=0`

D

`x^2+y^2-5y+3=0`

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-COMPLEX NUMBERS -EXERCISE 1
  1. If |(z-a)/(z+a)|=1 where Re (a)ne0 then locus of z = x +iy is

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  2. If |(z-i)/(z+i)|=1 then the locus of z is

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  3. The equation of the locus of 2 such that |(z-i)/(z+i)|=2, where z = x ...

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  4. The locus of the point z = x + iy satisfying |(z-2i)/(z+2i)|=1 is

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  5. If |(z+4i)/(z-2)|=2 then the locus of z is

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  6. The complex number z = x + iy which satisfy the equation |(z-5i)/(z+5i...

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  7. The complex equation |z+1-i|=|z+i-1| represents a

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  8. The locus represented by |z-1|=|z+i| is

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  9. If a is real number such that |z-ai|=|z+ai| , then the locus of z is

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  10. In the Argand Diagrams , all the complex number z satisfying |z-4i|+|z...

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

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

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

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

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

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

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

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

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

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

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