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If z(1) and z(2) are two complex numbers...

If `z_(1)` and `z_(2)` are two complex numbers such that `|(z_(1)-z_(2))/(z_(1)+z_(2))|=1`, then

A

`z_(1)=kz_(2), k in R`

B

`z_(1)=ikz_(2), k in R`

C

`z_(1)=z_(2)`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Exercise
  1. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(1-bar...

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  2. The points representing cube roots of unity

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  3. If z(1) and z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+...

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  4. If z(1), z(2) are two complex numbers such that |(z(1)-z(2))/(z(1)+z(2...

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  5. If n is a positive integer greater than unity z is a complex number sa...

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  6. If n is positive integer greater than unity and z is a complex number ...

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  7. If at least one value of the complex number z=x+iy satisfies the condi...

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  8. Given z is a complex number with modulus 1. Then the equation [(1+i a)...

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  9. The center of a regular polygon of n sides is located at the point z=0...

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  10. If the points z(1),z(2),z(3) are the vertices of an equilateral triang...

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  11. For any complex number z, the minimum value of |z|+|z-1|

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  12. The inequality |z-4| < |z-2| represents

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  13. Find the number of non-zero integral solutions of the equation |1-i|^(...

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  14. If "Im"(2z+1)/(iz+1)=-2, then locus of z, is

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  15. about to only mathematics

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  16. If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

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  17. If z(1),z(2), z(3) are vertices of an equilateral triangle with z(0) i...

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  18. If z(1) , z(2) are two complex numbers such that I m (z(1) + z(2)) = 0...

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  19. If z^2+z|z|+|z^2|=0, then the locus z is a. a circle b. a straight ...

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  20. If log(sqrt3) ((|z|^(2)-|z|+1)/(2+|z|)) lt 2 ,then the locus of z is

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