If `|z|=1`, then prove that the points represented by `sqrt((1+z)/(1-z))` lie on one or other of two fixed perpendicular straight lines.

If |z|=3, then point represented by 2-z lie on the circle

If z_(1),z_(2),z_(3) are complex numbers such that (2/z_(1))=(1/z_(2))+(1/z_(3)), then show that the points represented by z_(1),z_(2),z_(3) lie one a circle passing through e origin.

if |z|=3 then the points representing thecomplex numbers -1+4z lie on a

Prove that the points represented by the roots of the equation z^(2)=(1+z)^(4) the straight line.Find the complex equation of the straight line.

If |z| =2 then then the complex number 1/z is represented on a fixed ________.

If |z|=1, then the point representing the complex number -1+3z will lie on a.a circle b.a parabola c.a straight line d.a hyperbola

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

If |z|=2, the points representing the complex numbers -1+5z will lie on