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

The complex numbers z=x+iy which satisfy the equation |(z-5i)/(z+5i)|=1 lie on (a) The x-axis (b) The straight line y=5 (c) A circle passing through the origin (d) Non of these

All complex numbers 'z' which satisfy the relation |z-|z+1||=|z+|z-1|| on the complex plane lie on the

If z is complex number, then the locus of z satisfying the condition |2z-1|=|z-1| is (a)perpendicular bisector of line segment joining 1/2 and 1 (b)circle (c)parabola (d)none of the above curves

Find the number of complex numbers which satisfies both the equations |z-1-i|=sqrt(2)a n d|z+1+i|=2.

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.

A complex number z satisfies the equation |Z^(2)-9|+|Z^(2)|=41 , then the true statements among the following are

Suppose two complex numbers z=a+ib , w=c+id satisfy the equation (z+w)/(z)=(w)/(z+w) . Then

The complex number z satisfies z+|z|=2+8i . find the value of |z|-8

if z is complex no satisfies the condition | Z |>3. Then find the least value of | Z+ 1/ Z |

If complex number z(z!=2) satisfies the equation z^2=4z+|z|^2+(16)/(|z|^3) ,then the value of |z|^4 is______.