If `|z^2-1|=|z|^2+1`, then `z` lies on (a) a circle (b) the imaginary axis (c) the real axis (d) an ellipse

If 1z^(2)-1|=|z|^(2)+1, then z lies on (1)An ellipse (3)A circle 89.(2) The imaginary axis (4) The real axis

If |z^(2)-1|=|z|^(2)+1, then show that z lies on the imaginary axis.

If the complex number z=x+i y satisfies the condition |z+1|=1, then z lies on (a)x axis (b) circle with centre(-1,0) and radius1 (c)y-axis (d) none of these

If |z-(2)/(z)|=1 then |z| lies in

If |z-1| + |z + 3| le 8 , then prove that z lies on the circle.

If |z+bar(z)|+|z-bar(z)|=2 then z lies on (a) a straight line (b) a set of four lines (c) a circle (d) None of these

If z=x+iy and w=(1-iz)/(z-i), then |w|=1 implies that in the complex plane (A)z lies on imaginary axis (B) z lies on real axis (C)z lies on unit circle (D) None of these

If z lies on the circle I z 1=1, then 2/z lies on

The image of a complex number z in the imaginary axis is (A) z (B) iz(C)-z(D)-iz