If complex number z satisfies the condition `|z-2+i|<=1`, then maximum distance of origin from `A(4+i(2-z))` is

The complex number z satisfies thc condition |z-(25)/(z)|=24. The maximum distance from the origin of co-ordinates to the points z is

The complex number z which satisfies the condition |(i +z)/(i-z)|=1 lies on:

For the complex number z satisfying the condition |z+(2)/(z)|=2 , the maximum value of |z| is

Among the complex numbers z satisfying the condition |z+3-sqrt(3)i|=sqrt(3), find the number having the least positive argument

Variable complex number z satisfies the equation |z-1+2i|+|z+3-i|=10 . Prove that locus of complex number z is ellipse. Also, find the centre, foci and eccentricity of the ellipse.

The complex number z satisfying the condition arg{(z-1)/(z+1)}=(pi)/(4) lies on