If w=(z)/(z-(1)/(3)i) and |w|=1, then z ...

If `w=(z)/(z-(1)/(3)i)` and `|w|=1`, then z lies on

A

a straight line

B

a parabola

C

an ellipse

D

a circle

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If omega=(z)/(z-(i)(3)) and |omega|=1 , the z lies on

If |z^(2)-1|=|z|^(2)+1 , then z lies on :

If |z+bar(z)|+|z-bar(z)|=8 then z lies on

If z=(-2)/(1+sqrt(3) i) , then the value of arg z is

If |z|=1 and w=(z-1)/(z+1) (where z ne -1 ), then Re (w) is :

If z=x+iy and w=(1-iz)/(1+iz) , then |w|=1 implies that, in the complex plane

If z ne 1 and (z^(2))/(z-1) is real, then the point represented by the complex number z lies

If the complex number z=x+ iy satisfies the condition |z+1|=1 , then z lies on

If z_(1),z_(2) are two complex numbers satisfying the equation : |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 , then (z_(1))/(z_(2)) is a number which is

If (z-1)/(z+1) is purely imaginary, then |z|=