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If |(z-a)/(z+a)|=1 where Re (a)ne0 then ...

If `|(z-a)/(z+a)|=1` where Re `(a)ne0` then locus of z = x +iy is

A

y = 0

B

x = 0

C

`x^2+y^2+2x-4y=0` such that `ylt0,x^2+y^2gt1`

D

`x^2+y^2+2x-4y=0` such that `2x-y+4gt0`

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-1)/(z-3)| = 2 then the locus of z = x +iy is

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

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  3. If |(z-a)/(z+a)|=1 where Re (a)ne0 then locus of z = x +iy is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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